Question

Rewrite the following equation in slope-intercept form. y + 8 = -7(x + 6)

Answer 1

The expression we have is:

`y+8=-7\left(x+6\right)​`

We need to rewrite this in the slope-intercept form, which is as follows:

`y=mx+b`

Step 1: Use the Distributive property to solve the right side of the equation, multiplying -7 by x and -7 by 6:

`y+8=-7x-42`

Step 2: Substract 8 from both sides of the equation

`\begin{gathered} y+8-8=-7x-42-8 \\ y=-7x-50 \end{gathered}`

Answer: the slope intercept form is

`y=-7x-50`