write the equation of the line given the two points. (4,-3) and (3,1)

Answers

Answer 1

Answer:

y=-4x+13

Step-by-step explanation:

y=mx+b

slope =

1--3/3-4

4/-1

-4/1

y-1=-4(x-3)

y-1=-4x+12

y=-4x+13

Answer 2

Answer:

[tex]y = -4x + 13[/tex]

Step-by-step explanation:

First, find the slope (denoted by the variable, m). Use the following equation:

slope [tex](m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Let:

[tex](x_1, y_1) = (4 , -3)\\(x_2, y_2) = (3 , 1)[/tex]

Plug in the corresponding numbers to the corresponding variables:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-3)}{3 - 4} = \frac{1 + 3}{-1} = \frac{4}{-1} = -4[/tex]

Use the slope-intercept form. The slope-intercept form is:

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

Use one of the given points to plug in for (x ,y). Also note that the slope (m) is equal to -4. Plug in the corresponding numbers to the corresponding variables:

[tex]y = mx + b\\(x , y) = (3 , 1)\\m = -4\\\\\\1 = (-4 * 3) + b\\1 = (-12) + b\\1 (+12) = b - 12 (+12)\\b = 1 + 12\\b = 13[/tex]

Plug in the slope (m) and the y-intercept (b) to get your equation:

[tex]y = -4x + 13[/tex]

~


Related Questions

Solve for w.
-3(-8w+1) -w=5(w-1)-1
Simplify your answer as much as possible.
W =

Answers

Answer:

W = - 6

Step-by-step explanation:

-3(-8w+1) - w = 5(w-1) - 1 -> (Original equation)

24w - 3 - w = 5w - 5 - 1 -> (Expanded version)

23w - 3 = 5w - 6 -> (Simplified version)

18w - 3 = - 6 -> (Subtract 5w from both sides)

18w = - 3 -> (Add 3 to both sides)

w = 18/-3 which is - 6 -> (Doing 18/-3)

coaches take people to a festival.
Each coach can take 50 people.
From one city there are 820 people.
How many coaches are needed?

Answers

Answer:

17 coaches

Step-by-step explanation:

820 divided by 50 is 16.4 but you can't have part of a coach so you round up it 17

Answer:

17 coaches  

Step-by-step explanation:

820 divided by 50 is 16.4 but you can't have part of a coach so you round up it 17

Convert 45 mi/hr to feet per minute

Answers

Answer:

3960

Step-by-step explanation:

multiply 45 by the amount of feet in a mile (5280)

take that answer and divide in by how many minutes are in an hour

The price of petrol increased by 8% to Rs 540 per litre. Find the old price.​

Answers

Answer:

The original price is Rs. 50

Step-by-step explanation:

Let the original price be Rs.x

x+8% of x=54

x+(8/100)*x=54

x+8x/100=54

(100x+8x)/100=54

108x/100=54

x=54* 100/108

x=50.

The original price is Rs. 50

Answer:

Rs 500 per liter

Step-by-step explanation:

Let the initial price be x.

We have:

x + 8% of x = 540

Rewrite it as below and solve for x:

x + 0.08x = 5401.08x = 540x = 540/1.08x = 500

With words, describe the translation:
(x, y)—(x+2, y-4)
o Move 2 to the left and 4 up
o Move 6 diagonally
o Move 4 left and 2 up
o Move 2 to the right and 4 down

Answers

Move 2 to the left and 4 up

Fd meaning in microsift

Answers

Answer:

FD = Forced Deal

It is verified whenever you divide by 0 on a Enigma from 1942.

Answer:

/Fd (Program Database File Name) | Microsoft Docs. Documentation. Shows. Events.

Step-by-step explanation:

what is 0.75 greater than 9

Answers

Answer: 9.75

Step-by-step explanation: i just added

Answer:

less

Step-by-step explanation:

To find the distance across a river, a forester sets up stakes at A, B,C and D so that
stakes D and B are in line with a larger tree T, on the opposite bank. Calculate the
width of the river using the measurements given. (Upload a Picture of your solution)

Answers

Answer:

75m

Step-by-step explanation:

They are similar triangles: they have two corresponding angles: in a triangle with an angle of 90°, the other two will be of 45°.

Now that we know they are similar, we can calculate the ratio of the sides, by doing 10/2=5

We want to know the side AT, so we can do that by multiplying DC for 5:

DC = 15 × 5 = 75m

You can also check this by applying Pythagoras' Theorem:

DB =

[tex] \sqrt{15^{2} + 2^{2} } [/tex]

Which equals 15.1 m

The hypotenuse of the other triangle is 15.1 × 5 = 75.5 m

Finally, we can apply for the last time the Pythagoras' Theorem to find AT:

[tex] \sqrt{75.5^{2} - 10 {}^{2} } [/tex]

Which equals 74.8 = 75 m

Find the area of the shape shown below.

Answers

Answer:

14 sq units

Step-by-step explanation:

square - 4

triangle - 4

secong triangle - 6

4+4+6 = 14 sq units

Answer:

A = 10 sq. units

Step-by-step explanation:

Area of a trapezium is the average of the bases times the height.

Base 1 is 8 units

Base 2 is two units

Average is (8 + 2)/2 = 5 units

A = 5(2) = 10 sq. units

Item 3 Martin is a chef and a caterer. When catering an event, he plans the amount of food to be prepared based on the number of people he needs to serve. The equation y = 7x represents the number of ounces of chicken required to serve x people. The equation y = 5x represents the number of ounces of fish required to serve x people. What is true of the comparison of the two graphs?

Answers

Answer:

The line representing the number of ounces of chicken required to serve x people is steeper than the line representing the number of ounces of fish required to serve x people.

Step-by-step explanation:

I took the test

Comparing the two graphs, we can conclude that: the graph representing the number of ounces of chicken required to serve x people has a steeper slope than the graph representing the number of ounces of fish that will serve x people

Recall:

The linear equation of a proportional graph is represented as y = mx, where m is the slope or gradient.The larger the value of the slope, the steeper the slope of the graph.

Given the following:

Graph representing the number of ounces of chicken required to serve x people: y = 7x

The slope is 7.

Graph representing the number of ounces of fish required to serve x people: y = 5x.

The slope is 5.

Therefore, comparing the two graphs, we can conclude that: the graph representing the number of ounces of chicken required to serve x people has a steeper slope than the graph representing the number of ounces of fish that will serve x people

Learn more about slopes on:

https://brainly.com/question/12242745

Katarina bought a package of 500 stickers. 25% of the stickers are hearts. The remaining stickers are stars. Select all the statements that are true.

Answers

Answer: 125 hearts and 375 stars

Step-by-step explanation:

25% of 100 is 25. Take 100 and x it by 5. 100 x 5 is 500 making 25 x 5 125. That being said 125 hearts and 375 stars

Answer:

125 hearts and 375 stars

Step-by-step explanation:

The ratio of cookies to muffins made at The Berry Bakery is 3 : 4. If they make 12 cookies on Monday, how many muffins did they make?

Answers

Answer:

13

Step-by-step explanation:

The proportion is solved and the number of muffins is M = 16

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

The ratio of cookies to muffins made at The Berry Bakery is 3 : 4

Now , the number of cookies is = 12

So , the proportion is

3 / 4 = 12 / M

Multiply by M on both sides , we get

( 3/4 )M = 12

Divide by 3/4 on both sides , we get

M = 16 muffins

Hence , the number of muffins is 16

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ2

2) If it rains 4 inches in 1 hour, how long will it rain in 12 hours?
Please help this is due tomorrow

Answers

Answer:

It will rain 48 inches in 12 hours.

Step-by-step explanation:

If for every hour it rains 4 inches, then to find how many inches it rained in 12 hours you just need to multiply the amount of hours by 4: 12 x 4 = 48

PLZ mark brainliest if I helped

Which equation has a solution of 34 for y?

Select all the correct answers.
A.8y=9
B.y−1=−14
C.4y=6
D.7−y=614
E.12y=9
F.214+y=4

Answers

Answer:

The answer is I don't know

A function is described by the equation f(x) = x² +5. The replacement set for the independent
variable is {1, 5, 7, 12}. Which of the following is contained in the corresponding set for the
dependent variable?

Answers

Answer:

5

Step-by-step explanation:

5 =5 +5+5=5+5

HELP ASAP!!!!hgghfuygkjb,

Answers

Answer:

120$

Step-by-step explanation:

what figure is a rotation of figure

Answers

Answer:

b

Step-by-step explanation:

what grade?

KEEP GETTING BOTTED! Work out. the area of a circle of radius 7cm. Give your answer in terms of pi
Step-By-Step would be appreciated!

Answers

Answer:

49π cm²

Step-by-step explanation:

[tex]A=\pi r^2[/tex]

[tex]A=\pi (7)^2[/tex]

[tex]A=49\pi[/tex]

Therefore, the area of a circle of radius 7 is 49π cm²

Hello there! :-)

The formula for calculating the area of a circle is

A=πr²

A=π(7)²

Notice that only the radius is squared.

A=π(49)

A=154 cm

Hope this helps!

Use the comment section to clarify your doubts.

Answered by

~A teen who helps others with joy and listens to her favourite music

#LetItSnow

Good luck with your studies. :-)

Help me with this one please​

Answers

for me, it’s easiest when i distribute the negative sign if i need to and then reorder to put the like terms together. and then solve.
(also sorry if it’s a little confusing with all the parentheses, i use them because it helps me organize everything)


21. (4x-9y) + (6x+10) + (8y-4)
= 4x + 6x - 9y + 8y + 10 - 4
= 10x - y + 6
—> D

22. (6x+9y-15) + (2x-9y+8)
= 6x + 2x + 9y - 9y - 15 + 8 (the 9y - 9y = 0, so you can leave it out of the final equation)
= 8x - 7
—> D

23. (9x^2-8x+3) - (5x^2-6x+4)
= 9x^2 - 8x + 3 - 5x^2 -(-6x) - 4
= 9x^2 - 5x^2 - 8x + 6x + 3 - 4 (remember that two - signs next to each other make a + sign)
= 4x^2 - 2x - 1
—> A

24. (9x^3-7x+8) - (5x^2+7x-10)
= 9x^3 - 7x + 8 - 5x^2 - 7x -(-10)
= 9x^3 - 5x^2 - 7x - 7x + 8 + 10
= 9x^3 - 5x^2 - 14x + 18
—> D

25. (6x+14y) - ((7x+5y) + (x-8y))
= (6x+14y) - (7x + x + 5y - 8y)
= (6x+14y) - (8x-3y)
= 6x + 14y - 8x -(-3y)
= 6x - 8x + 14y + 3y
= -2x + 17y
—> B

pls help on my maths

Answers

Answer:

X=((2q+5p)/3)^1/2

This is how x has to be subjected

Step-by-step explanation:

Please Brainlist

Answer:

[tex]x[/tex] = √2q + 5p / 3

Step-by-step explanation:

3[tex]x^{2}[/tex] = 2q + 5p

[tex]x^{2}[/tex] = 2q + 5p / 3

[tex]x[/tex] = √2q + 5p / 3

Solve 5,964 ÷ 7 = ________. Use an area model to help you.

Answers

Answer:

The answer is 852 I think. Please tell me if this is correct.

Step-by-step explanation:

What is the solution for -10 < x - 9?

x > -19
x < -1
x < -19
x > -1

Answers

Answer:

x > -1

Step-by-step explanation:

-10 < x - 9 add 9 to both sides of the inequation

9 + (-10) < x - 9 + 9 minus 9 will eliminate the positive 9 on the right side of the inequation therefore the answer is:

-1 < x  and x > -1

52,259 divided by 215 with remainder

Answers

Step-by-step explanation:

Hope it will help you...

It is 5:15 pm now. What time will it be in 40 minutes?

Answers

Answer:

5:55 pm

Step-by-step explanation:

Answer:

5:55pm

Mark brainlest if correct

Step-by-step explanation:

Guys this is the last question for the day please help me out.

Answers

Answer:

So it's 350 - D - B.

And 350 - A - D.

Hope that helped?

Decide whether each set of side lengths could form a valid triangle: (6,8,9), (3,8,5), (4,9,14).

Answers

1) yes
2) no
3) no
Explanation: try to draw the last two its impossible. The only reason why the first one is a yes is because you could only make a side SLIGHTLY bigger.

In a bar graph space between rectangles is always​

Answers

Answer:

the same

Step-by-step explanation:

Not as histograms where space must equal 0 as calculating area is needed.

Which of the following statements is true?


The range is the set of all input values and is the independent variable.


The domain is the dependent variable and is determined by the range.


The independent variable varies as the dependent variable varies

The independent variable is the input value

Answers

Answer:

TRUE

TRUE

FALSE

FALSE

TRUE

Answer:

first one is true

Step-by-step explanation:

Quick! I need an answer now! Please!
Linear or nonlinear:
y=x y=x/2 - 3 3x + y =12 y= 6/x - 2 y=3x^3+5

Answers

this equation is a non linear equation

An equation is linear if there are no exponents or square roots or any funny business goin on

In this case, many of the equations, such as Y=x/2-3 have no exponents, which means they are linear

The only one that is nonlinear is the last one, which has an x^3. This graph would look wiggly (as to mean non linear)

What is the area of the following circle? Use 3.14 for pi and enter your
answer as a decimal.
p=7
units2

Answers

3.14 x 7 x 7 = 153.86
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