A line contains the points (-6, -4) and (0,4). What is the equation of this
line in slope-intercept form?
4
OA) y=3*+
x+4
(
4
OB) y=
3
ОВ)
X-4
OC) y=x-4
OD) y=x+4

A Line Contains The Points (-6, -4) And (0,4). What Is The Equation Of Thisline In Slope-intercept Form?4OA)

Answers

Answer 1

As y=4x−2 can be written as y=4x+(−2) . Hence, it's slope is 4 and intercept on y -axis is −2

Answer 2
Answer:

A) [tex]y=\frac{4}{3}x+4[/tex]

Step-by-step explanation:

Write the slope formula:

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

________________________________________________________

Substitute and calculate

[tex]Substitute:[/tex]      [tex]x_1=-6\\ x_2=0\\ y_1=-4\\ y_2=4[/tex]    [tex]into\ m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute

[tex]m=\frac{4-(-4)}{-(-6)}[/tex]

Determine the sign

[tex]m=\frac{4+4}{6}[/tex]

Calculate the sum or difference

[tex]m=\frac{8}{6}[/tex]

Cross out the common factor

[tex]m=\frac{4}{3}[/tex]

________________________________________________________

Substitute and calculate

[tex]Substitute[/tex]     [tex]m=\frac{4}{3}\\ x=-6\\ y=-4[/tex]     [tex]into\ y=mx+b[/tex]

Substitute

[tex]-4=\frac{4}{3}\times(-6)+b[/tex]

Reduce the expression to the lowest term

[tex]-4=-4\times2+b[/tex]

Calculate the product or quotient

[tex]-4=-8+b[/tex]

Rearrange variables to the left side of the equation

[tex]-b=-8+4[/tex]

Calculate the sum or difference

[tex]-b=-4[/tex]

Divide both sides of the equation by the coefficient of variable

[tex]b=4[/tex]

________________________________________________________

Substitute

[tex]Substitute[/tex]       [tex]y=\frac{4}{3}x+4\\ m=\frac{4}{3}[/tex]       [tex]into\ y=mx+b:[/tex]

[tex]y=\frac{4}{3}x+4[/tex]

________________________________________________________

Rewrite the equation of the line

[tex]Rewrite\ y=\frac{4}{3}x+4\ in\ slope-intercept\ form:[/tex]

[tex]y=\frac{4x}{3}+4[/tex]

I hope this helps you

:)


Related Questions

If there are 62 boys out of 100 grade 7 students, how do you know this is in fractional form? What is the decimal form?

Answers

I know this is in fraction form because it says out of. A fraction will say out of, for example: 3 out of 4. The number 62 boys out of 100 students can be represented as 0.62, 0.62 of 1 (100) whole number.

Hope this helps!

The answer is 0.62

The explanation to this is because 62/100 is like saying .62 with hundreths instead.

Working simultaneously, eight pumps fill in a pool in 32 hours. All pumps work at the same pace. If only half of the pumps are working, in how many hours will the pool be filled in?

Answers

Answer:

16 hours

Step-by-step explanation:

trust me its rsm principal test rite? lol u just divide the hours by 2 cuz there are only half the pumps

Answer:

64 hours

Step-by-step explanation:

At a candy store, Jeremiah bought 1 pound of jelly beans for $9. Meanwhile, Emma bought 4
pounds of jelly beans and 6 pounds of gummy worms for $60. How much does the candy
cost?
Plz help ASAP

Answers

Answer:

I think the candy cost 51 dollars

Jellybeans: 36$

Gummy worms: 15$

36 + 15 = 51

Step-by-step explanation:

Since jeremiah bought 1 pound for 9 dollar you can minus 9 from the equation which is 51 and since each pound of jelly beans were 9 dollars 9 x 4 = 36 and 51 - 36 is 15 so the cost of the gummy worms are 15 so

either 51 or 36 and 15

Do you like me
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Answer:

what?

Step-by-step explanation:

Answer:

I am cunfushion

Step-by-step explanation:

Solve the equation below :

7 – 9x – 15 + 12x

Answers

Answer:

-8+3x

Step-by-step explanation:

7 – 9x – 15 + 12x

We cannot solve since there is no equals sign, we can only simplify

Combine like terms

7 -15   -9x+12x

-8          +3x

Answer:

3x - 8

Hope that was the answer you were looking for :D

How do I slove this eqaution, and whats the answer?
-3(n+6)+10=-8

Answers

-3(n+6)+10=-8

Use distributive property:

-3n -18 +10 = -8

Combine like terms:

-3n -8 = -8

Add 8 to both sides:

-3n = 0

Divide both sides by -3:

n = 0

Answer:

n=0

Step-by-step explanation:

Giving 5 STARS AND BRAINLIEST IF YOU ANSWER CORRECTLY!!
TTM

On a very cold morning, it was -8°F. As the day went on, the temperature rose 2 degrees each hour. Which equation shows the temperature over time?

Answers

The last one the answer is ( number ) 40 degrees

The value of 4.8-(2.5-6.3)

Answers

Answer:

first you will Subtract 6.3-2.5 and should get 3.8 now 4.8-3.8=1

Step-by-step explanation:

Answer:

The answer is 1

Step-by-step explanation:

PEMDAS

Makensie bought 5.4 pounds of cashews for $18.62. Approximately how many pounds of cashews can Makensie purchase for $1?

Answers

Answer:

$4.00 per pound

Step-by-step explanation:

A grocery store sells cashew nuts at $8.00 per pound and peanuts at $4.00 per pound. They want to mix 10 pounds of the cashews with peanuts to create a mixture that will sell at $6.50 per pound

Pythagorean Theory Plz help

Answers

The longest side is always the hypotenuse

1. Hypotenuse
2. Always across from the right angle

I can solve this grouping symbol question, please help!

Answers

(4+7)(32-2)
I’m not sure but I guess it helps

Which measurement statement is correct 10 points

Answers

where are the statements

What is the value (3-54(2) - 16
10

Answers

Answer:

I believe the exact value is -265

Write the equation for a parabola whose vertex is (-6,-1) and passes through (-12,17).

Answers

Answer:

[tex]y=\frac{1}{2}(x+6)^2-1[/tex]

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

[tex]y=a(x-h)^2+k[/tex]

Where (h, k) is the vertex of the parabola that graphically represents the function, and a is a coefficient different from zero.

The vertex of the required equation is located at (-6,-1)

The parabola passes through (-12,17)

Substituting the coordinates of the vertex, the equation of the function is:

[tex]y=a(x+6)^2-1[/tex]

The value of a will be determined by using the given point:

[tex]17=a(-12+6)^2-1[/tex]

Operating:

[tex]17=a(36)-1[/tex]

[tex]36a=18\Rightarrow a=18/36=1/2[/tex]

Solving:

[tex]a=1/2[/tex]

The equation of the parabola is:

[tex]\boxed{y=\frac{1}{2}(x+6)^2-1}[/tex]

Solve
-5(x + 3) = 2(x - 4)

Answers

Answer:

x=-1

Step-by-step explanation:

Answer:

X = -1

Step-by-step explanation:

help me pls A.S.A.P interpret in English
1. je mange toujours de la slade
2. tu as mange du riz
3. Elle a beaucoup d'enfants
4. IL a bu du the
5. je bois toujours du vin
6. vous etes des etudiants de la Langue francais

Answers

Step-by-step explanation:

1.)i always eat salad

2.)you ate rice

3.)She has a lot of children

4.)He drank tea

5.)i still drink wine

6.)you are students of the French language

(thanks, sorry and hope I helped)

Natasha can type 30 words a minute.
How many words can be typed in 7.5 minutes?

Answers

225. I think. However its not clear if total words typed are asked for Natasha or in General.
225

7*30=210
+15 (1/2 of 30)=225

Help me solve this problem please

Answers

Answer:

look at picture :)))

Step-by-step explanation:

is this right?

What property is 7+(a+b)=(7+a)+b

Answers

Answer:

associative property

Step-by-step explanation:

Associative property of addition is when you move the parentheses but the values don't move

Hope this helps you out!!!!

The line shown represents the amount of money Ben owes on his lunch account. 2 days ago, he owed $1. What is an equation of the line in point-slope form?

Answers

Answer:

y=-2x-1

Make sure to have no spaces in your answer.( if your test said that remember to not put space between them)

Step-by-step explanation:

what is the answer for 6-7b+7bx3+b?

Answers

Answer:

=7bx3−6b+6

Step-by-step explanation:

6−7b+7bx3+b

=6+−7b+7bx3+b

=6+−7b+7bx3+b

=(7bx3)+(−7b+b)+(6)

=7bx3+−6b+6

Answer:43b

Step-by-step explanation:7+7 x3 +b = 43b

a statement that switches the hypothesis and conclusion and negates both

Answers

Contrapositive – the statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement.

Converse – the statement formed by exchanging the hypothesis and conclusion of a conditional statement. Counterexample – an example used to show that a given statement is not always true.

Eight and seventy-four hundredths in standard decimal form

Answers

Hey there!

Fact: Usually whenever you see the “-th” in word-form in mathematics we know the result will have a decimal in it!

Since you have the “-th” in your problem we know it’ll have a decimal

Now let’s start solving!

8 would be in your ONES place

.

7 would be in your TENTHS place

4 would be in your HUNDREDTHS place

Your answer SHOULD look like this: 8.74 ☑️

Note: ALWAYS check your wording in problems. It’ll come easier to you!

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Are the following equations perpendicular y-8=1/2(x+5) and y-
8=-1/2(x+5)? *

Answers

Answer:

Step-by-step explanation:

Yes

Give two other names for PS

Answers

Answer:

it's c

Step-by-step explanation:

The line PS can be represented by the other names will be PQ, RQ, RS, PR, RS, and PS. Then the correct option is D.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things. In daily speech, a line segment with two points designating its endpoints is also referred to as a line.

The line is shown below.

The line PS can be represented by the other names will be PQ, RQ, RS, PR, RS, and PS.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ5

Use the diagram below to answer the question.
6x + 15
10x-5
14 What is the value of ?
Use the diagram below to answer the following questions.
1
32 degrees
2
43 degrees
3
15 What is the measure of 21?
What is the measure of 232

Answers

Answer:

1. x = 5

Remember that all angles add up to 180, and because you know that one of the angles = 90, you can add the other two angles like so.

6x + 15 + 10x - 5 = 90

2.

Angle 1 = 43 degrees

Angle 3 = 32 degrees

Given f(x) = 70 + 11x, find x when f(x) =158

Answers

Answer:

[tex] \huge \boxed{x = 8}[/tex]

Step-by-step explanation:

f(x) = 70 + 11x

To find the value of x when f(x) =158 , equate f(x) to 158

We have

[tex]70 + 11x = 158 \\ 11x = 158 - 70 \\ 11x = 88[/tex]

Divide both sides by 11

[tex] \frac{11x}{11} = \frac{88}{11} \\ [/tex]

We have the final answer as

x = 8

Hope this helps you

Sydney applied the steps below to find the product of (3.1)(–1.6). Step 1: (3.1)(–1.6) = (–1.6)(3.1) Step 2: = _______________ Step 3: = (–4.8) + (–0.16) Step 4: = –4.96 Which expression correctly fills in the blank in Step 2?

Answers

Answer:

(-1.6)(3 + 0.1)

Step-by-step explanation:

Sidney applied the steps to find the product of two numbers (3.1) and (-1.6),

Step 1,

(3.1)(-1.6) = (-1.6)(3.1)

Step 2,

(-1.6)(3.1) = (-1.6)(3 + 0.1)

Step 3,

(-1.6)(3 + 0.1) = -4.8 + (-0.16) [Distributive property]

Step 4,

-4.8 + (-0.16) = -4.96

Therefore, expression that correctly fits in step 2 will be,

(-1.6)(3 + 0.1)

Answer:

it might be D

Step-by-step explanation:

sorry is im wrong

EDIT

on edge im right!!!!!!!!!!!!!!

PLEASE HELP!! If f (x) = 4x^-2 + 1/4x^2 + 4, then f’(2) =

Answers

Answer: D) 0

Work Shown:

f(x) = 4x^(-2) + (1/4)x^2 + 4

f ' (x) = 4*(-2)x^(-3) + (1/4)*2x .... power rule

f ' (x) = -8x^(-3) + (1/2)x

f ' (2) = -8(2)^(-3) + (1/2)*(2)

f ' (2) = 0

Finding the derivative, we have that f'(2) = 0, option D.

-----------------------------

The derivative of an exponent is:

[tex](x^n)^{\prime} = nx^{n-1}[/tex]

Additionally, the sum of the derivatives is the derivative of the sum. The derivative of a constant is zero.

-----------------------------

The function is:

[tex]f(x) = 4x^{-2} + \frac{x^2}{4} + 4[/tex]

The derivatives are:

[tex](4x^{-2})^{\prime} = -2 \times 4x^{-2 -1} = -8x^{-3}[/tex]

[tex](\frac{x^2}{4})^{\prime} = \frac{2x}{4}[/tex]

[tex](4)^{\prime} = 0[/tex]

Thus, the derivative of the function is:

[tex]f^{\prime}(x) = -8x^{-3} + \frac{2x}{4} = -\frac{8}{x^3} + \frac{2x}{4}[/tex]

At x = 2:

[tex]f^{\prime}(2) = -\frac{8}{2^3} + \frac{2(2)}{4} = -1 + 1 = 0[/tex]

Thus f'(2) = 0, option D.

A similar problem is given at https://brainly.com/question/10037173

If b = 5, what is b3?

Answers

Answer:

15

Step-by-step explanation:

I'm assuming that b3 is the variable b times 3. So if you plug in 5 for the b variable you'd get (5)3 which is 5 times 3, or 15.

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