# How do you find the x and y intercepts for y = 7/8x + 10?

Feb 20, 2017

when y = 0

$0 = \left(\frac{7}{8}\right) x + 10$
$- 10 = \left(\frac{7}{8}\right) x$
$x = - 10 \left(\frac{8}{7}\right)$
$x = - 11 \frac{3}{7}$

when x = 0

$y = \frac{7}{8} \left(0\right) + 10$
$y = 10$

#### Explanation:

This is a linear line graph increasing from left to right because $\frac{7}{8}$ is a positive gradient.

graph{y=7/8x+10 [-10, 10, -5, 5]}

The line will intercept y-axis when the x is 0 and it will intercept x-axis when y = 0.