How to find x and y intercepts?

Question

3y=2x+12 thanks!

Answer 1

Hello again Youssef,

To solve this problem, we follow these steps:

Step One: Solve the equation as if x=0

3y=2x+12 Plug in 0

3y=2(0)+12 Simplify

3y=12 Divide both sides by 3

y=4

This tells us that the y intercept is (0,4)

Step Two: Solve the equation as if y=0

3y=2x+12

3(0)=2x+12  Plug in 0

0=2x+12 Subtract 12 from both sides of the equation

-12=2x Divide both sides of the equation by -2

x=-6 

This tells us that the x intercept is (-6,0)

∴Our y intercept is (0,4) and our x intercept is (-6,0)

Best, 

Star

Answer 2

Let x be 0, 3y = 0+12, y = 4 So (0.4) is the y intercept.

let y be 0, 0=2x+12 , x=-6 So (-6,0) is the x intercept.