What is the x and the y intercept of 2x-3y equals -6?

Answer 1

To find the x and y intercepts of this function, you should first put the equation in the form y=mx+b. In this equation b represents your y intercept and by plugging 0 in for y and solving for x you can find your x intercept.

So first, let's convert 2x-3y=-6 to y=mx+b.

2x-3y=-6-->subtract 2x from each side

-3y= -6-2x --> now divide each side by -3

y= (-6/-3) -(2/-3)x --> y=2+2/3x or y=2/3x + 2

So now if you plug in 0 for x you can solve for your y intercept.

y= 2/3(0) +2--> y=2

and to solve for your x intercept, plug in 0 for y.

0=2/3x +2 --> subtract 2 from both sides.

-2= 2/3x --> divide each side by 2/3 or multiply by 3/2

-2 * 3/2=x

x=-6/2 or -3

ANS: y intercept= 2 and x intercept= -3