How Do You Go From Point-Slope Form to Slope-Intercept Form?

To convert a point slope form equation to a slope-intercept form, you must simplify the equation. The simplified equation has "y" on one side of the equals sign and everything else on the other.

  1. Simplify any parenthesis in the point slope form

    Any numbers next to any parenthesis must be multiplied by items in the parenthesis. Take the example: y-5=6(x-7). In this example, the 6 must be multiplied by the "x" and the 7.

  2. Move items across the equals sign until the 'y' is alone

    Numbers on the same side of the equal sign as the "y" must have the opposite sign applied to both sides of the equation. In this example, y-5=6x-42, the "5" must be added to both sides of the equation which cancels out the 5 on the side with the "y."

  3. Rewrite the equation in slope-intercept form

    Once you have simplified the rest of the equation, it should be ready to write in slope-intercept form which is y=mx+b where "m" is the slope and "b" is the y-intercept. The example now works out to be y=6x-37.