How do you find the x and y intercept of #5x + 6y = −30#?

1 Answer
Aug 12, 2016

Answer:

x-intercept = - 6
y-intercept = -5

Explanation:

This is the equation of a line.
When the line crosses the x-axis, #color(blue)"x-intercept"#, the value of the y-coordinate will be zero. Substituting y = 0 into the equation and solving for x gives the x-intercept.

y=0 : 5x+0=-30#rArrx=-6" x-intercept"#

Similarly when the line crosses the y-axis, #color(blue)"y-intercept"#, the value of the x-coordinate will be zero.

x = 0 : 0 + 6y = - 30 #rArry=-5 " y-intercept"#
graph{-5/6x-5 [-10, 10, -5, 5]}