Question

How do you write the equation `y+2=-2(x-5)` in slope intercept form?

Answer 1

The slope intercept form is `y=-2x+8`.

Explanation:

The slope intercept form for a linear equation is `y=mx+b`, where `m` is the slope, and `b` is the y-intercept. To change the equation to slope intercept form, solve for `y`.

`y+2=-2(x-5)`

Expand.

`y+2=-2x+10`

Subtract `2` from both sides.

`y+color(red)cancel(color(black)(2))-color(red)cancel(color(black)(2))=-2x+10-2`

Simplify.

`y=-2x+8` `lArr` Slope intercept form
graph{y=-2x+8 [-15.82, 16.2, -5.45, 10.57]}