What are the x and y-intercepts of the graph of - 3x+4y=-36?

A) x-intercept: - 9, y intercept: 12

B) x-intercept:-12, y--intercept: - 9

C) x-intercept: 12, y intercept: - 9

D) x-intercept: 9, y-intercept: - 12

The x intercept is where the graph intercepts the x axis or where y=0

the y intercept is where the graph intercepts the y axis or where x=0

xintercpet

replace y with 0 and solve for x

-3x+4 (0) = - 36

-3x=-36

divide - 3 both sides

x=12

xintercept=12

yintercept

replace x with 0 and solve for y

-3 (0) + 4y=-36

4y=-36

divide both sides by 4

y=-9

xint=12

yint=-9

C is answer