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

##### 1 Answer

Aug 12, 2016

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]}