Rewrite the point-slope equation in slope-intercept form: y - 3 = 2(x + 4) a) y = 2x + 5 b) y = 2x + 7 c) y = 2x + 9 d) y = 2x + 11

y = 2x + 11 (Answer D)

Step-by-step explanation:

The general slope-intercept form is y = mx + b.

Starting with y - 3 = 2(x + 4), do two things:

1) Add 3 to both sides, and

2) carry out the indicated multiplication.

Then y = 3 + 2x + 8, or y = 2x + 11

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )