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

1 Answer
Sep 27, 2015

Answer:

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 #2/3# 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=2/3x-2#