# State the slope and Y intercept of 3x -2y = 6.I really need help. I don't understand this slope and intercept thing. Can someone please explain to me how all this stuff works? Thanks.

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Expert Answers

lfryerda | Certified Educator

To find the slope and y-intercept of a line, we need to write the line in the form `y=mx+b` where m is the slope and b is the y-intercept.

`3x-2y=6` move everything except the y to the other side

`-2y=-3x+6` divide by -2

`y={-3x}/{-2}+6/{-2}` simplify

`y=3/2x-3`

The slope is the number in front of the x and the y-intercept is the number on the right side.

**The slope is `m=3/2` and the y-intercept is `y=-3` .**