- Point-Slope form:
, with
as a point on the line and m = slope - Slope-Intercept form:
, with m = slope and b = y-intercept. - Slope Formula:

So firstly, we have to convert this standard form equation into slope-intercept form. To start with, add x on both sides of the equation: 
Next, divide both sides by 3 and your slope-intercept form is
.
Next, since we know one of the points, the y-intercept (0,2), and the slope, 1/3. We can use the slope formula to get to point-slope form. Our equation looks like this:

For this, just multiply both sides by x and <u>your point-slope form is
</u>