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

1 Answer
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.

2x+0=82x=8x=4

x=4 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.

(2×0)+y=80+y=8y=8

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