How do you find the slope and y-intercept for the line 2x−3y=6?

1 Answer
Lizzy P.
Sep 27, 2015

The slope is the number attached to x and the y-intercept is your 'b' term in the equation y=mx+b. So, the slope would equal 23 and the y-intercept would be −2.

Explanation:

In this case, the equation is in standard form, mx-y=b. To get the equation into slope-intercept form, you would need to do the following:

  1. Subtract 2x from both sides of the equal sign so that way you would get the equation: −3y=−2x+6. This is slope-intercept form. by subtracting the 2x, it cancels out on the left side and moves to the right side.
  2. Divide both sides by −3 so that way you isolate y: y=23x−2
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