# How do you find the x and y intercept of 2x + -8y = -10?

Jul 31, 2016

$x$-intercept is $- 5$ and $y$-intercept is $\frac{5}{4}$

#### Explanation:

If one has to find $x$-intercept, one should put $y = 0$ and solve for $x$.

Hence as $2 x + \left(- 8 y\right) = - 10$ and putting $y = 0$

we get $2 x = - 10$ or $x = - 5$

and to find $y$-intercept, one should put $x = 0$ and solve for $y$.

Hence as $2 x + \left(- 8 y\right) = - 10$ and putting $x = 0$

we get $- 8 y = - 10$ or $y = \frac{- 10}{- 8} = \frac{5}{4}$

Hence $x$-intercept is $- 5$ and $y$-intercept is $\frac{5}{4}$

graph{2x-8y=-10 [-6.52, 3.48, -2, 3]}