Question

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

Answer 1

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`