Question

How do you find the x and y intercept and slope of `y= - 6/5x + 6`?

Answer 1

The slope is `-6/5`, the `y`-intercept is at (`0,6`), and the `x`-intercept is at (`5,0`).

Explanation:

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

`y = mx + b`,

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

Your equation is

`y = -6/5x + 6`

If we compare the two equations, we see that

`m = -6/5` and `b = 6`.

So the slope is `-6/5` and the `y`-intercept is at (`0,6`).

To get the `x`-intercept, we set `y = 0` and solve for `x`,

`y = -6/5x + 6`

`0 = -6/5x + 6`

`0 = -6x + 30`

`6x = 30`

`x = 30/6 = 5`

The `x`-intercept is at (`5,0`).