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=−8⇒2x=−8⇒x=−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=−8⇒0+y=−8⇒y=−8
⇒y=−8 is the y-intercept
graph{-2x-8 [-20, 20, -10, 10]}