Question

How do you write the equation y - 4 = -2(x - 5) in slope-intercept form?

Answer 1

The equation in slope-intercept form is `y=-2x+14`.

Explanation:

The slope-intercept form of a linear equation is `y=mx+b`, where `m` is the slope and `b` is the y-intercept. In order to convert the given equation to slope-intercept form, solve for `y`.

`y-4=-2(x-5)`

Add `4` to both sides of the equation.

`y=-2(x-5)+4`

Distribute the `-2`.

`y=-2x+10+4`

Simplify.

`y=-2x+14`

The slope is `-2` and the y-intercept is `14`.

graph{y=-2x+14 [-11.04, 8.96, -1.616, 8.38]}