Find the x-intercept and y intercept. 3y=4x-12

Question

Find the x intercept and y intercept for each equation. 

3y=4x-12

Answer 1

Alternate way to find the x and y intercepts of 3y=4x-12.

 

Subtract 4x from both sides:

 

-4x + 3y = -12

 

Divide both sides by -12:

 

x/3 + y/(-4) = 1, which is the Intercept Form of a Linear Equation, where

 

3 is the x-intercept and -4 is the y-intercept.

Answer 2

To find the x intercept, set y = 0.

3(0) = 4x-12

0 = x -12 

Add 12 to both sides

x = 12

 

To find the y intercept, set x = 0.

3y = 4(0) -12

3y = -12

Divide both sides by 3.

y = -4