Question

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

Answer 1

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=-8rArr2x=-8rArrx=-4`

`rArrx=-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.

`(2xx0)+y=-8rArr0+y=-8rArry=-8`

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