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

##### 1 Answer
Jul 10, 2015

The slope is $- \frac{6}{5}$, 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

$y = m x + b$,

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

Your equation is

$y = - \frac{6}{5} x + 6$

If we compare the two equations, we see that

$m = - \frac{6}{5}$ and $b = 6$.

So the slope is $- \frac{6}{5}$ and the $y$-intercept is at ($0 , 6$).

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

$y = - \frac{6}{5} x + 6$

$0 = - \frac{6}{5} x + 6$

$0 = - 6 x + 30$

$6 x = 30$

$x = \frac{30}{6} = 5$

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