# How do you find the x and y intercepts for 13 x-20 y= 17?

Nov 26, 2015

x-intercept is $\left(\frac{17}{13} , 0\right)$
y-intercept is $\left(0 , - \frac{17}{20}\right)$

#### Explanation:

To solve for x-intercept, we let y= 0

$13 x - 20 \left(0\right) = 17$

$\frac{13 x}{13} = \frac{17}{13}$

$x = \frac{17}{13} \implies \left(\frac{17}{13} , 0\right)$

To solve for y-intercept, let x= 0

$13 \left(0\right) - 20 y = 17$

$\frac{- 20 y}{-} 20 = \frac{17}{- 20}$

$y = - \frac{17}{20} \implies \left(0 , - \frac{17}{20}\right)$