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

Apr 20, 2017

$x = 5 \mathmr{and} y = - 10$
graph{2x-10 [-5, 10, -15, 5]}
(the graph has been scaled to show the intercepts and does not accurately depict the slope)

#### Explanation:

Put the equation into double-intercept form.
$\left(\frac{x}{a}\right) + \left(\frac{y}{b}\right) = 1$
where $a$ is the x-intercept and $b$ is the y-intercept

Original equation:
$2 x - y = 10$
Divide all parts by 10:
$\left(\frac{2 x}{10}\right) + \left(\frac{- 1 y}{10}\right) = \left(\frac{10}{10}\right)$

And here is the finished product!
$\left(\frac{x}{5}\right) + \left(\frac{y}{-} 10\right) = 1$

$x = 5 \mathmr{and} y = - 10$