Question

find x and y intercept -5x+9y=-45 please show work

Answer 1

it's easier if you re-write your equation as:
9y=5x-45
y=5/9 x-5
x-intercept means y=0:
x=9
(9,0)
y-intercept means x=0:
y=-5
(0,-5)

Answer 2

When x=0, 9y=-45, y=-5
When y=0, -5x=-45, x=-9