# How do you find the intercepts for 2x-y=4?

Jun 24, 2015

x-intercept is 2
y-intercept is -4

#### Explanation:

the x-intercept is the value of $x$ where the line of the equation crosses the x-axis; on the x-axis, $y = 0$
so substituting $y = 0$ into $2 x - y = 4$
gives
$2 x - 0 = 4$ or $x = 2$

Similarly, the y-intercept is the value of $y$ where the line of the equation crosses the y-axis, $x = 0$
so substituting $x = 0$ into $2 x - y = 4$
gives
$2 \left(0\right) - y = 4$ or $y = - 4$