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

1 Answer
Jul 22, 2016

Answer:

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]}