Question

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

Answer 1

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