Math Question. I need to know the steps for this problem

Question

-5x - 8y = 10

What are the x-intercept and y-intercept?

Answer 1

Let each term equal zero individually to solve for the other variable.

-5x - 8y = 10

Let x = 0 -8y = 10 Let y = 0 -5x = 10

-8y / -8 = 10 / -8 -5x / -5 = 10 / -5

y = -5 /4 or - 1.25 X = -2

Answer 2

x intercept = -2

y intercept = -5/4

let y= 0, then solve for x to get the x intercept

let x=0, then solve for y to get the y intercept