To find the x and y intercepts simply substitute y = 0 and x = 0 resp. Then calculate the value of the variable that is left.

Let's find the y intercept, x = 0

5x - 15y = 120

=> -15y = 120

=> y = 120/-15

=> y = -8

To find the x intercept, y = 0

5x - 15y = 120

=> 5x = 120

=> x = 120/5

=> x = 24

Therefore the x-intercept is (24 , 0) and the y-intercept is (0, -8).

The y intercept is the value of y when x = 0.

When x = 0, the equation looks like this

-15y = 120

Divide both sides by -15 and you get

y = -8  -- that's the y intercept.

The x intercept is the value of x when y = 0

5x = 120

x = 24