A line passes through the point (-4, 7) and has a slope of -5/4
Write an equation in slope-intercept form for this line.

Answers

Answer 1

Answer:

We conclude that the equation in slope-intercept form for this line will be:

[tex]y\:=\:\frac{-5}{4}x+2[/tex]

Step-by-step explanation:

Given

The point = (-4, 7)slope = m = -5/4

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

Using the slope-intercept form to find the y-intercept 'b'

substituting m = -5/4 and the point (-4, 7)

[tex]y = mx+b[/tex]

[tex]7=\:\frac{-5}{4}\left(-4\right)+b[/tex]

[tex]-\left(-5\right)+b=7[/tex]

[tex]5+b=7[/tex]

subtract 5 from both sides

[tex]5+b-5=7-5[/tex]

[tex]b=2[/tex]

now substituting b = 2 and m = -5/4 in the slope-intercept form

[tex]y = mx+b[/tex]

[tex]y\:=\:\frac{-5}{4}x+2[/tex]

Therefore, we conclude that the equation in slope-intercept form for this line will be:

[tex]y\:=\:\frac{-5}{4}x+2[/tex]


Related Questions

please help me will mark brainliest
How can you use an inequality to describe the dimensions of a figure?

Answers

A scalene triangle can be identified by the inequality of the lengths of its sides and size of its angles.

What I don’t get this someone help

Answers

Answer:

1 3/4 gallon or 1.75

Step-by-step explanation:

1 (1/4) = 5/7

5/4 = 5/7

5/4 = 1.25

1.25/x = 5/7

7(1.25) = 5x

5x = 8.75

x = 1 3/4

PLEASE HELP ITS DUE IN 10 MINUTES

write a linear function f with the values f(1)=4 and f0=3

Answers

Answer:

Write a linear function f with the values f(2)=−2 and f(1)=1.

So, this is just a different way to say two different coordinates (x, y) and (x1, y1). f(x)=y and f(x1) = y1

We have: (2,-2) and (1,1) and we want to know the equation of the line that goes through those two points.

Find the : M = (y-y1)/(x - x1) = (-2 - 1) / (2 - 1) = -3/1 = 3; M = 3

Find the Y intercept by in one of the points for x and y and solving for B

Y = 3(X) + B

I'll choose the (1,1) to plug in: 1 = 3(1) + B; so B = -2

Put them together in intercept form: Y = 3(X) -2

Step-by-step explanation:

Does this help you understand the steps to take to solve this type of problem? please mark me as brainlest answer hope this helps

Mahammad Yunus is the founder of the Grameen Bank and a recipient of the Nobel Peace Prize for his work to find solutions to extreme poverty. The Grameen Bank issues microcredit loans and is the world's original microlending organization. Microcredit loans are one way to help people move out of extreme poverty. The loans involve lending very poor people small amounts of money to start a new business or to expand an existing one. 1. Malik wants to open a bicycle repair shop in India. He will need 800 rupees to buy the tools and equipment necessary to start his business. After that, he will need 1,400 rupees per month to keep his business running a. Copy and complete the table below for Malik's total costs. Number of Months in Business Total Costs to Operate (in rupees) 1 2 3 6 n​

Answers

Answer:

sorry didnt get to find the anwser

Step-by-step explanation:

On a coordinate grid, point A is at (−3.0, −5.4) and point B is at (−3.0, 5.4). Point B is a reflection of point A across the
–axis. Input either a lowercase x or y. (1 point)

2

Answers

Answer:

y.

Point B is reflected at from point A at y-axis.

Find the perimeter of the image below.

30.18 units
33 units
28.38 units
34.18 units

Answers

Answer:

125.74 units

Step-by-step explanation:

30.18 units

33.00 units

28.38 units

34.18 units

125.74

3 x1/4 =

Please help me

Answers

Answer:

3/4

Step-by-step explanation:

please mark me as brainliest

Answer:

3/4

Step-by-step explanation:

You just multiply the whole number by the numerator.

30% of the presents under the
tree were for Tammy. If there
were 20 presents under the
tree, how many presents did
Tammy get?

Answers

Answer:

6

Step-by-step explanation:

hard 9th grade work pls help

Answers

No work free points ;) thx

the difference of the
ages of two brothers is 4 years 5 years ago if the product of their ages was 96 find their present ages


Answers

Answer:

OB - Older Brother

YB - Younger Brother

A) OB -YB = 4

B) OB * YB = 96

B) OB = 96 / YB

Multiplying A) by -1

A) -OB + YB = -4 then we add B)

B) OB = 96 / YB

YB = -4 + 96 / YB

Multiplying both sides by YB

YB^2 = -4YB +96 then re-arranging

YB^2 + 4YB -96 = 0 solving by quadratic equation

AS OF 5 years AGO:

Younger Brother's age = 8

Older Brother's age = 12

NOW THEIR AGES ARE:

8 + 4 = 12  YB and

12 + 4 = 16 OB

Step-by-step explanation:

You bought 5 chocolate bars and 8 blow pops for $23.25. Your sister bought 2 chocolate bars and 13 blow pops for $21.55. How much did each chocolate bar cost?

Answers

Answer:

$2.65

Step-by-step explanation:

Let chocolate bar cost = c and blow pops cost = b

As per given we have equations below:

5c + 8b = 23.25 2c + 13b = 21.55

13 times the first equation minus 8 times the second to eliminate b and find c:

13(5c + 8b) - 8(2c + 13b) = 13(23.25) - 8(21.55) 65c - 16c = 129.85 49c = 129.85 c = 129.85/49 c = 2.65

Each chocolate bar costs $2.65

The roof of the Westin Tower (officially called the Westin Peachtree Plaza Hotel) in Atlanta is located at a height of 723 ft. Assume a stone is dropped from this roof. (Note: Round numerical answers to two decimal places, if necessary.)

Required:
a. Find the distance of the stone above the ground at any time t (before it hits the ground).
b. How long does it take the stone to reach the ground?
c. With what velocity does it reach the ground?

Answers

Answer:

a) The stone takes approximately 6.704 second to reach the ground.

b) The stone takes approximately 6.704 second to reach the ground.

c) The stone hits the ground at a velocity of -215.695 meters per second.

Step-by-step explanation:

a) The stone experiments a free fall, which is a uniform accelerated motion due to gravity and in which effects from air friction and Earth's rotation are negliglble. Then, the vertical distance of the stone above the ground at any time [tex]t[/tex] is represented by the following model:

[tex]y = y_{o}+v_{o}\cdot t +\frac{1}{2}\cdot g\cdot t^{2}[/tex] (1)

Where:

[tex]y_{o}[/tex] - Initial height of the stone, measured in meters.

[tex]v_{o}[/tex] - Initial velocity of the stone, measured in meters per second.

[tex]t[/tex] - Time, measured in seconds.

[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.

If we know that [tex]y_{o} = 723\,ft[/tex], [tex]v_{o} = 0\,\frac{ft}{s}[/tex] and [tex]g = -32.174\,\frac{ft}{s^{2}}[/tex], then the distance of the stone above the ground at any time [tex]t[/tex] is represented by the following model:

[tex]y = 723 -16.087\cdot t^{2}[/tex] (2)

b) If we know that [tex]y = 0[/tex], then the time taken by the stone to reach the ground is:

[tex]723-16.087\cdot t^{2} = 0[/tex]

[tex]t = \sqrt{\frac{723}{16.087} }\,s[/tex]

[tex]t \approx 6.704\,s[/tex]

The stone takes approximately 6.704 second to reach the ground.

c) The function velocity is found by differentiating (2) once:

[tex]v = -32.174\cdot t[/tex] (3)

If we know that [tex]t \approx 6.704\,s[/tex], then the velocity when it hits the ground is:

[tex]v = -32.174\cdot (6.704)[/tex]

[tex]v = -215.695\,\frac{m}{s}[/tex]

The stone hits the ground at a velocity of -215.695 meters per second.

HELP ASAP QUESTION IN PHOTO

Answers

The answer is 2(x+4)-5x+2 .
Step by step:
Distribute the 2 through the parentheses--> 2x+8 -5x + 2
Then collect the like terms:
-3x+8+2
Then add 8 and the 2
-3x + 10

What is the percent of the figure that is shaded. Drag the correct answer to the box labeled "Correct percentage." 65% 60° .65% 650%​

Answers

Answer:

60

Step-by-step explanation:

Tawfiq Trading Company plans to supply 50,000 cartons of oil in January 2021 with the carton selling for $ 20.
It is predicted that the imported oil will fall by 20,000 if the price of a carton of oil falls by 20%.
develop the Supply Equation formula? ​

Answers

Answer:

[tex]\displaystyle s=5,000p-50,000[/tex]

Step-by-step explanation:

Linear Model

The supply of cartons of oil in January 2021 is predicted to reach 50,000 cartons for Tawfiq Trading Company with the carton selling for $20.

If we call s the supply of cartons and p the price, the ordered pair (p,s) for this condition is (20 ; 50,000).

It's predicted that the supply will fall by 20,000 if the price falls by 20%. The new supply will be 50,000-20,000=30,000 and the new price will be 0.8*$20=$16. This gives us the second point (16 ; 30,000)

The equation of a line passing through points (p1,s1) and (p2,s2) can be found as follows:

[tex]\displaystyle s-s_1=\frac{s_2-s_1}{p_2-p_1}(p-p_1)[/tex]

Substituting the given points:

[tex]\displaystyle s-50,000=\frac{30,000-50,000}{16-20}(p-20)[/tex]

Calculating:

[tex]\displaystyle s-50,000=\frac{-20,000}{-4}(p-20)[/tex]

[tex]\displaystyle s-50,000=5000(p-20)[/tex]

Operating and simplifying:

[tex]\displaystyle s-50,000=5,000p-100,000[/tex]

[tex]\mathbf{\displaystyle s=5,000p-50,000}[/tex]

Help 6th grade math thanks

Answers

Answer:

8.75

Step-by-step explanation:

In order to find the unit rate, you need to divide the variable by the independent variable. In this case, your dependent variable would be $122.50 because the cost depends on how much you are buying; you're independent variable will be 14 because it doesn't depend on the other.

Divide 122.5 by 14 and your answer would be 8.75

Hope this helps!!!  :)

Also, please give me brainliest if you don't mind.  :)

If you don't want to, then it's okay.  

8.75 hope this answers your question.

If the total value of the coins is 36¢, what is the missing coin?

Answers

Answer:

1 penny 3 nickels 2 dimes = 36 cents

quarter

Step-by-step explanation:

Karen is solving the quadratic equation shown below x2+12x-1=0 x2+12x-1+1=0+1

Answers

The solutions to the quadratic equation x² + 12x - 1 = 0 are given by:

[tex]x = -6 \pm \sqrt{37}[/tex]

What is a quadratic function?

A quadratic function is given according to the following rule:

y = ax² + bx + c

The solutions are given as follows:

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex][tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]

In which:

[tex]\Delta = b^2 - 4ac[/tex]

For this problem, the equation is given by:

x² + 12x - 1 = 0.

The coefficients are:

a = 1, b = 12, c = -1.

Hence:

[tex]\Delta = 12^2 - 4(1)(-1) = 148[/tex][tex]x_1 = \frac{-12 + \sqrt{148}}{2}[/tex][tex]x_2 = \frac{-12 - \sqrt{148}}{2}[/tex]

Since [tex]\sqrt{148} = 2\sqrt{37}[/tex], the solutions are given as follows, simplifying by 2:

[tex]x = -6 \pm \sqrt{37}[/tex]

More can be learned about quadratic equations at https://brainly.com/question/24737967

#SPJ1

solve for x 4(x-3)-8=16

Answers

Answer:

x=9

Step-by-step explanation:

4(x-3)-8=16

1. Distribute

(4x) - (4*3) - 8 =16

4x-12-8=16

Combine the 12 and the 8

4x-20=16

Add 20 to both sides

4x-20+20=16+20

4x=36

Divide by 4.

x=9

Hope this helps plz hit the crown :D

Given triangle GHJ, the measure of angle G equals 110°, the measure of angle J equals 40°, and the measure of angle H equals 30°. Complete the following statements. Since angle G is angle, the opposite side, JH, is . The order of the side lengths from longest to shortest is .

Answers

Answer:

Since angle G is  

✔ the largest

 angle, the opposite side, JH, is  

✔ the longest side

. The order of the side lengths from longest to shortest is  

✔ HJ, GH, and GJ

.

Step-by-step explanation:

Answer: the answers are

              -the largest

              -the longest side

              -HJ, GH, and GJ                  

Step-by-step explanation: put them in edge 2020, got them right Hope this helps :)

A box contains 4 red pens, 3 blue pens, and 5 black pens. A pen is selected at random, not replaced, and then a second pen is selected. Find probability of: P(red, then blue)

Answers

Answer:

bbbbbb

Step-by-step explanation:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbb

The probability would be 1/6

whats the answer? if you know it

Answers

D. 360! You use the equation length x height x width!

Answer:

Step-by-step explanation:

360

HELLLPPP I WILL MARK BRAINLIEST

Answers

Answer:part, whole

Step-by-step explanation:

Part, whole

Best answer gets brainiest. On Wednesday at camp, Diana went for a hike at 5:35 A.M. The hike took 1 hour and 30 minutes. As soon as she got back from the hike, Diana played volleyball for 55 minutes. What time did Diana finish playing volleyball?

Include A.M. or P.M. in your answer.

Answers

Answer:

Diana finshed playing volleyball at 8am

Step-by-step explanation:

So we know she started at 5:35 AM

And she hiked for an hour and 30 minutes

so 5:35+1 hour is 6:35

and 6:35+35 is 7:05

So before playing volley ball, the time is 7:05 am

Now volley ball was 55 minutes

so 7:05+55 is 8

So 8am

Answer:

She finish playing valleyball at 8:00 am

Step-by-step explanation:

Hike at 5:30 => 1h 30 min => 7:05

valleyball at 7:05 => 55 min => 8:00

Solve the following equation for f. Be sure to take into account
whether a letter is capitalized or not.
9 = Gf

Answers

Answer:

f is equal to 3 which means g is also equal to 3

Step-by-step explanation:

Divide by G
Solution: f = 9/G

Find the 75th term of the following arithmetic sequence.
12, 21, 30, 39,

Answers

9514 1404 393

Answer:

  678

Step-by-step explanation:

The sequence has a first term of 12 and a common difference of 21-12 = 9. The explicit formula for the n-th term is ...

  an = a1 +d(n -1)

For a1 = 12 and d = 9, this is ...

  an = 12 + 9(n -1)

Using 75 for the value of n, we have ...

  a75 = 12 + 9(75 -1) = 12 + 666 = 678

The 75th term is 678.

Researchers are studying populations of two squirrels, the eastern gray and the western gray. For the eastern gray squirrel, about 22 percent of the population weighs over 0.5 kilogram (kg). For the western gray squirrel, about 36 percent of the population weighs over 0.5 kg. A random sample of 60 squirrels will be selected from the population of eastern gray squirrels, and a random sample of 120 squirrels will be selected from the population of western gray squirrels. What is the mean of the sampling distribution of the difference in sample proportions (eastern minus western)

Answers

Answer:

p₁  -  p₂  = ( -0,28 . 0 )

Step-by-step explanation:

Eastern gray squirrel

Sample size    n₁  = 60

p₁  =  22 %        p₁  = 0,22       then     q₁  = 1 - 0,22      q₁ = 0,88

Western gray squirrel

Sample size  n₂  =  120

p₂ = 36%     p₂ = 0,36     Then    q₂  =  1  - 0,36     q₂  =  0,64

p (s)  = ( p₁ - p₂ ) /√ (p₁*q₁ ) / n₁   +  (p₂*q₂/ n₂)

p(s)  = ( 0,22 -  0,36 ) /√ (0,22*0,88)/60  +  ( 0,36*0,64)/120

p(s)  =  -0,14 /0,071

p(s) = - 1,9718

Then

CI = (  p₁ - p₂ ) ± p(s) *EED

EED =  /√ (p₁*q₁ ) / n₁   +  (p₂*q₂/ n₂)   = 0,071

CI = (  - 0,14  ±  1,9718 * 0,071 )

CI =  ( - 0,14  ±  0,14 )

CI =  ( - 0,28 ;  0 )

we will find with 95% of confidence the mean of the sampling distribution of the difference in sample proportion in the interval  ( -0,28 , 0 )

p₁  -  p₂  = ( -0,28 . 0 )

The sampling distribution of the difference in the proportions between proportion is given by possible values of the difference.

The mean of the difference in sample proportion is; (E) 0.22 - 0.36

Reasons:

The given information are;

Percentage of eastern gray squirrel population weighing over 0.5 kg = 22%

Percentage of western gray squirrel population weighing over 0.5 kg = 36%

Sample size of the eastern gray squirrels = 60

Sample size of the western gray squirrels = 120

Required:

The mean of the sampling distribution of the difference in sample proportions (eastern minus western)

The mean of the difference is given by the difference of the mean.

The mean of the sampling distribution of the difference in the sampling proportion from two populations is; Mean = p₁ - p₂

Where;

p₁ = The proportion of the eastern gray squirrel = 22% = 0.22

p₂ =  The proportion of the western gray squirrel = 36% = 0.36

Therefore;

Mean = p₁ - p₂ = 0.22 - 0.36

The correct option is (E) 0.22 - 0.36

Learn more here:

The possible question options obtained online includes;

[tex](A) \ \sqrt{\dfrac{0.22 \cdot (0.78)}{120} + \dfrac{0.36\cdot (0.64)}{60} }[/tex]

[tex](B) \ \sqrt{\dfrac{0.22 \cdot (0.78)}{60} + \dfrac{0.36\cdot (0.64)}{120} }[/tex]

(C) 60·(0.22) - 120·(0.36)

(D) 0.36 - 0.22

(E) 0.22 - 0.36

Given a point A(-3,-1), it is dilated by some scale
factor to A' (-9,-3). If the same dilation is applied
to B(-1,-5), what are the coordinates of B'?

Answers

Answer:

[tex]B' = (-3, -15)[/tex]

Step-by-step explanation:

Given

[tex]A = (-3,-1)[/tex]

[tex]A' = (-9,-3)[/tex]

[tex]B = (-1,-5)[/tex]

Required

Determine the coordinates of B'

Since A' is the image of A; we need to first calculate the scale factor using

[tex]A' = A * Scale\ factor[/tex]

Make Scale Factor the subject

[tex]Scale\ Factor = \frac{A'}{A}[/tex]

Substitute values for A' and A

[tex]Scale\ Factor = \frac{(-9,-3)}{(-3, -1)}[/tex]

Factorize the numerator

[tex]Scale\ Factor = \frac{3 * (-3,-1)}{(-3, -1)}[/tex]

[tex]Scale\ Factor = \frac{3 * 1}{1}[/tex]

[tex]Scale\ Factor = 3[/tex]

The coordinates of B' is then calculated as follows:

[tex]B' = B * Scale\ Factor[/tex]

Substitute values for B and Scale Factor

[tex]B' = (-1,-5) * 3[/tex]

[tex]B' = (-3, -15)[/tex]

Solve for L.........

Answers

Answer:

L = P/2 - W

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

P = 2L + 2W

Step 2: Solve for L

Subtract 2W on both sides:                    P - 2W = 2LDivide 2 on both sides:                           (P - 2W)/2 = LDistribute division:                                   P/2 - W = LRewrite:                                                    L = P/2 - W

The coordinate grid shows three points P, Q, and R:

A four-quadrant coordinate grid from negative 10 to positive 10 in increments of 2 is drawn. Point P is plotted on the ordered pair negative 6, negative 2. Point Q is plotted on the ordered pair negative 6, negative 6. Point R is plotted on the ordered pair 4, negative 6.

The distance between Q and R is ______ units.

Numerical Answers Expected!

Answer for Blank 1:

Answers

Answer:

10 units

Step-by-step explanation:

Given:

Point Q = (-6, -6)Point R = (4, -6)

The segment QR is horizontal as both have same y- coordinate of -6.

The distance between Q and R is the distance between x- coordinates:

4 - ( -6) = 10 units

Answer:

10

Step-by-step explanation:

i took the test flvs right segmant exam

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