x-intercept is for y = 0
y-intercept is for x = 0
We have x - 3y = -9.
Put y = 0 to the equation:
x - 3(0) = -9
x - 0 = -9
x = -9
Put x = 0 to the equation:
9 - 3y = -9
-3y = -9 divide both sides by (-3)
y = 3
Answer:
x-intercept (-9, 0); y-intercept (0, 3)