Question

How do you find the slope and intercept of `4y-8x=3`?

Answer 1

The slope is `2`, and the y-intercept is `3/4`.

Explanation:

Solve for `y`. This will convert the equation to the slope-intercept form of a linear equation, `y=mx+b`, where `m` is the slope and `b` is the y-intercept.

`4y-8x=3`

Add `8x` to both sides.

`4y=8x+3`

Divide both sides by `4`.

`y=(8x)/4+3/4`

Simplify.

`y=2x+3/4`

The slope, `m`, is `2`, and the y-intercept, `b`, is `3/4`.

graph{y=2x+3/4 [-10, 10, -5, 5]}