# How do you find the x and y intercepts for y= - 6/5x + 6?

Mar 25, 2018

$x$-intercept at 5,
$y$-intercept at -6.

#### Explanation:

Since this is a linear function with a $b$-value and a slope, it must cross the $x$ and $y$ axes at some point.

To solve for the $y$-intercept, let $x$ = $0$:

$y$ = $- \left(\frac{6}{5}\right)$($0$)+6
$y$ = 6

To solve for the $x$ - intercept, let $y$ = $0$:

$0$= $- \left(\frac{6}{5}\right) \left(x\right)$+6
$- 6 = - \left(\frac{6}{5}\right) \left(x\right)$
$- 30 = - 6 x$
$x = 5$