# How do you find the x and y intercepts for 2x - 5y = 10?

Nov 17, 2015

Rearrange and substitute in y=0 and x=0 to find x and y intercepts respectively.

#### Explanation:

Rearrange to $y = m x + c$

$5 y = 2 x - 10$

$y = \frac{2}{5} x - 2$

y intercept is when $x = 0$

So $y = - 2$

X intercept is when $y = 0$

$\frac{2}{5} x - 2 = 0$

$\frac{2}{5} x = 2$ divide both sides by $\frac{2}{5}$

$x = 5$