# How do you graph 2x-y=6 using intercepts?

Apr 2, 2017

$x -$intercept: $\left(3 , 0\right)$
$y -$intercept: $\left(0 , - 6\right)$

#### Explanation:

To find $x -$intercepts set $y = 0$ and solve for $x$:
$2 x - 0 = 6$
$2 x = 6$
$x = \frac{6}{2} = 3$
$x -$intercept is $\left(3 , 0\right)$

To find $y -$intercepts, set $x = 0$ and solve for $y$:
$- y = 6$
$y = - 6$
$y -$intercept is $\left(0 , - 6\right)$

Plot these two points and draw a line that goes through them:

graph{2x-6 [-8.96, 11.04, -7.4, 2.6]}