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3 years ago

Write in slope intercept form y-6=2(x+3)

Mathematics

2 answers:

GrogVix [38]3 years ago

5 0

Slope intercept form = y = mx + b

To convert to slope intercept form, we need simply only isolate the y variable.

y - 6 = 2(x + 3)

First, distributive property.

y - 6 = 2x + 6

Aadd 6 to both sides.

<h3>y = 2x + 12</h3><h3>The equation is now in slope intercept form.</h3>

tester [92]3 years ago

3 0

Answer:

y = 2x + 12 is your answer.

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other.

First, distribute 2 to all terms within the parenthesis.

y - 6 = 2(x + 3)

y - 6 = 2x + 6

Next, isolate the variable y. Add 6 to both sides.

y - 6 (+6) = 2x + 6 (+6)

y = 2x + 6 + 6

y = 2x + 12

y = 2x + 12 is your answer.

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Find the solutions to the equation below.Check all that apply.

Blababa [14]

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4 years ago

ANSWER QUICK!! 75 PTS!!!

iogann1982 [59]

Answer:

2) x = -2 , y = 2

3) no solution exists

Step-by-step explanation:

Solve the following system:

{-2 x - 3 y = -2

y = 2 x + 6

Hint: | Perform a substitution.

Substitute y = 2 x + 6 into the first equation:

{-2 x - 3 (2 x + 6) = -2

y = 2 x + 6

Hint: | Expand the left hand side of the equation -2 x - 3 (2 x + 6) = -2.

-2 x - 3 (2 x + 6) = (-6 x - 18) - 2 x = -8 x - 18:

{-8 x - 18 = -2

y = 2 x + 6

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for x:

{-8 x - 18 = -2

y = 2 x + 6

Hint: | Isolate terms with x to the left hand side.

Add 18 to both sides:

{-8 x = 16

y = 2 x + 6

Hint: | Solve for x.

Divide both sides by -8:

{x = -2

y = 2 x + 6

Hint: | Perform a back substitution.

Substitute x = -2 into the second equation:

Answer: {x = -2 , y = 2

4 0

3 years ago

Which ordered pair in the form (a,b) is a solution of the equation?

kondor19780726 [428]

Answer:

A. (6,0)

Step-by-step explanation:

4a- 5b = 24

Check each point to see if its is true

A. (6,0)

4(6) - 5(0) = 24

24 = 24

true

B. (-5, -2)

4(-5) -5(-2)= 24

-20 +10 = 24

-10 =24

False

C. (0,6)

4(0) -5(6) =24

-30 =24

False

D. (-2, -5)

4(-2) -5(-5)=24

-8+25=24

18=24

False

3 0

3 years ago

The width of a rectangle is the sum of the length and 1. The area of the rectangle is 20 units. What is the width, in units, of

IRISSAK [1]

Answer:

W=5

Step-by-step explanation:

W=Width=Length + 1

L = Length

Area = Length * Width = 20

Area = L * W = L * (L+1) = 20

Distribute the L: L^2 + L = 20

Subtract 20 from both sides: L^2 + L -20 = 20-20

Simplify: L^2+L-20=0

Factor (L-4)(L+5)=0

Solve using the zero property: L-4=0, L=4 L+5=0, L=-5

The two options for length are 4 and -5. Only 4 will work for L since it cannot be negative. Width is Length + 1 = 5

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3 years ago