What are the x and y intercepts for the equation 3y=12+2x

Step-by-step explanation:

Given that,

3y=12+2x

To find the x-intercept will set y=0 because, at the intercept of x, the value of y is 0

Then, y=0

3y=12+2x

3 (0) = 12+2x

0=12+2x

2x=-12

divide both sides by 2

x=-12/2

x=-6

Also, to get the y-intercept, let set x=0, because, at the intercept of y, x = 0

3y=12+2x

3y=12+2 (0)

3y=12

Divide both sides by 3

y=12/3

y=4

So, y-intercept 4

Also, the x-intercept is - 6

(x, y) the x intercept is (-6,0) the y intercept is (0,4)