Question

What is `4x=-2y+26` in slope-intercept form?

Answer 1

`y=-2x+13`

Explanation:

Solve for `y`:

`4x=-2y+26`

Add `2y` to both sides.

`2y+4x=26`

Subtract `4x` from both sides.

`2y=-4x+26`

Divide both sides by `2`.

`y=(-4x)/2+26/2`

Simplify.

`y=-2x+13` is in slope-intercept form:

`y=mx+b`,

where:

`m` is the slope and `b` is the y-intercept (value of `y` when `x` is `0`)

graph{y=-2x+13 [-10, 10, -5, 5]}