# How do you find x and y intercepts of  -5x + 6y = 30?

Apr 8, 2017

See the entire solution process below:

#### Explanation:

To find the y-intercept, set $x = 0$ and solve for $y$:

$- 5 x + 6 y = 30$ becomes:

$\left(- 5 \times 0\right) + 6 y = 30$

$0 + 6 y = 30$

$6 y = 30$

$\frac{6 y}{\textcolor{red}{6}} = \frac{30}{\textcolor{red}{6}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{6}}} y}{\cancel{\textcolor{red}{6}}} = 5$

$y = 5$

The y-intercept is $y = 5$ or $\left(0 , 5\right)$

To find the x-intercept, set $y = 0$ and solve for $x$:

$- 5 x + 6 y = 30$ becomes:

$- 5 x + \left(6 \times 0\right) = 30$

$- 5 x + 0 = 30$

$- 5 x = 30$

$\frac{- 5 x}{\textcolor{red}{- 5}} = \frac{30}{\textcolor{red}{- 5}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{- 5}}} x}{\cancel{\textcolor{red}{- 5}}} = - 6$

$x = - 6$

The x-intercept is $x = - 6$ or $\left(- 6 , 0\right)$