Question

How do you find the slope and y-intercept of 2x – 5y = –45?

Answer 1

The slope is `2/5` and the `y`-intercept is at (`0,9`).

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.

`2x-5y = -45`

`-5y = -2x – 45`

`5y = 2x + 45`

`y = 2/5x + 9`

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 = 2/5` and `b = 9`.

So the slope is `2/5` and the `y`-intercept is at (`0,9`).