Students are often to asked to convert the equation of a line from point slope to slope intercept.

**Example** of Converting Slope Intercept to Point Slope Form of a Line

Convert to point slope form.

Step 1Substitute a convenient value of x into your equation and solve for y (You're doing this to get the point x_{1},y_{1}). Let's choose x=5. Yes, you could choose x=0 and make your life really easy! Remember you only need to choose one x value, I chose two different values ...but you could have chosen any value at all for x.

Substitute the point you found , (x_{1}, y_{1}) , into the point slope formula. Remember 'm' is the same in both slope intercept and point slope forms so you can take the directly from the slope intercept equation.

**Practice** Converting Equations

Substitute a convenient value of x into your equation and solve for y (You're doing this to get the point x_{1},y_{1} of the point slope formula ). Let's choose x = 3. Yes, you could choose x = 0 and make your life really easy! Remember you only need to choose one x value, I am just showing you two different convenient values that you could use.

Substitute the point you found , (x_{1}, y_{1}) , into the point slope formula. Remember 'm' is the same in both slope intercept and point slope forms so you can take the directly from the slope intercept equation

Substitute a convenient value of x into your equation and solve for y (You're doing this to get the point x_{1},y_{1} of the point slope formula ). Let's choose x = 4 Yes, you could choose x = 0 and make your life really easy! Remember you only need to choose one x value, I am just showing you two different convenient values that you could use.

Substitute the point you found , (x_{1}, y_{1}) , into the point slope formula. Remember 'm' is the same in both slope intercept and point slope forms so you can take the directly from the slope intercept equation.