How do you find the x and y intercept of 4y=3x+12?

1 Answer
Dec 17, 2016

The x-intercept is: x = -4 or (-4, 0).

The y-intercept is: y = 3 or (0, 3)

Explanation:

To find the x-intercept you set y equal to 0 and solve for x:

4*0 = 3x + 12

0 = 3x + 12

0 - 12 = 3x + 12 - 12

-12 = 3x + 0

-12 = 3x

(-12)/3 = (3x)/3

-4 = x or x = -4 or (-4, 0).

To find the x-intercept you set x equal to 0 and solve for y:

4y = 3*0 + 12

4y = 0 + 12

4y = 12

(4y)/4 = 12/4

y = 3 or (0, 3)