Question

What are the x-intercepts and the y-intercepts of the graph of 12x−3y=36

Answer 1

x-intercept=3, y-intercept=-12

Explanation:

at x-intercept y=0 such that:

12x-3(0)=36

12x=36

`x=(36)/(12) =3`

additionally, at y-intercept x=0 such that

12(0)-3y=36

-3y=36

`y= (36)/(-3)=-12`

Answer 2

Explanation:

12x −3y=36 ⇔ 3y = 12x - 36

y = 4x - 12

y = 0 ⇔ 4x - 12 = 0 ⇔ 4x = 12 ⇔ x = 12/4 = 3

So (0 ; - 12) and (3 ; 0)