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

Jul 22, 2016

x-intercept = - 4
y-intercept = - 8

#### Explanation:

2x + y = -8 is the equation of a line. When this line crosses the x-axis the value of the y-coordinate will be zero. Substituting y = 0 into the equation and solving for x gives the x-intercept.

$2 x + 0 = - 8 \Rightarrow 2 x = - 8 \Rightarrow x = - 4$

$\Rightarrow x = - 4 \text{ is the x-intercept}$

Similarly, when the line crosses the y-axis the value of the x-coordinate will be zero. Substituting x = 0 into the equation and solving for y gives the y-intercept.

$\left(2 \times 0\right) + y = - 8 \Rightarrow 0 + y = - 8 \Rightarrow y = - 8$

$\Rightarrow y = - 8 \text{ is the y-intercept}$
graph{-2x-8 [-20, 20, -10, 10]}