Question

Which of the following options correctly converts the equation (y+7)= 3(4x-8) to slope-intercept form?

A) y= 12x -17
B) y= 5x -31
C) y=12x-31
D) y= 5x-17

Answer 1

The correct conversion of the equation (y+7)= 3(4x-8) to slope-intercept form is y = 12x - 31, which corresponds to option C.

Step-by-step explanation:

To convert the equation (y+7)= 3(4x-8) to slope-intercept form, we first need to distribute the 3 across the terms inside the parenthesis and then isolate y on one side of the equation.

First, distribute the 3:

3 × 4x = 12x
3 × -8 = -24

Now, our equation is:

y + 7 = 12x - 24

Next, we subtract 7 from both sides to solve for y:

y = 12x - 24 - 7

y = 12x - 31

Thus, the equation in slope-intercept form is y = 12x - 31.

Answer: C) y=12x-31