Question

How do you find the slope and y-intercept given `8y-2x=5`?

Answer 1

The slope is `1/4` and the `y`-intercept is at (`0,5/8`).

Explanation:

First, you rearrange the equation into the "slope-intercept" form to get `y` by itself on the left hand side and all the other terms on the right hand side.

`8y – 2x = 5`

`8y = 2x + 5`

`y = 2/8x + 5/8`

`y = 1/4x + 5/8`

The "slope-intercept" form of a straight line equation is

`y = mx + b`,

where `m` is the slope and `b` is the `y`-intercept.

If we compare the two equations, we see that `m = 1/4` and `b = 5/8`.

So the slope is `1/4` and the `y`-intercept is at (`0,5/8`).