Question

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

Answer 1

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]}