- 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>