Question

Point-Slope Form: y + 2 = -7(x − 4)Rewrite the equation in slope-intercept form

Answer 1

Given the equation of a line in Point-Slope Form:

`y+2=-7(x-4)`

You need to rewrite it in Slope-Intercept Form:

`y=mx+b`

Where "m" is the slope of the line and "b" is the y-intercept.

Then, you have to solve for "y":

1. Apply the Distributive Property on the right side of the equation. Remember the Sign Rules for Multiplication:

`\begin{gathered} +\cdot+=+ \\ -\cdot-=+ \\ -\cdot+=- \\ +\cdot-=- \end{gathered}`

Then:

`y+2=(-7)(x)+(-7)(-4)`
`y+2=-7x+28`

2. Apply the Subtraction Property of Equality by subtracting 2 from both sides of the equation:

`y+2-(2)=-7x+28-(2)`
`y=-7x+26`

Hence, the answer is:

`y=-7x+26`