Students are often to asked to convert the equation of a line from point slope to slope intercept.
![](images/slope-intercept-form/slop-intercept-beta.png)
![](https://www.mathwarehouse.com/images/arrow_right_large.gif)
![](images/point-slope-form/point-slope-form-formula2.gif)
Example of Converting Slope Intercept to Point Slope Form of a Line
Convert to point slope form.
Substitute a convenient value of x into your equation and solve for y (You're doing this to get the point x1,y1). 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.
![](images-equation-work/slope-intercept-to-point-slope/ex1/step1.gif)
Substitute the point you found , (x1, y1) , 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.
![](images-equation-work/slope-intercept-to-point-slope/ex1/step2.gif)
Practice Converting Equations
Substitute a convenient value of x into your equation and solve for y (You're doing this to get the point x1,y1 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.
![Step 1](images-equation-work/slope-intercept-to-point-slope/p1/step1.gif)
Substitute the point you found , (x1, y1) , 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
![](images-equation-work/slope-intercept-to-point-slope/p1/step2.gif)
Substitute a convenient value of x into your equation and solve for y (You're doing this to get the point x1,y1 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.
![](images-equation-work/slope-intercept-to-point-slope/p2/step2.gif)
Substitute the point you found , (x1, y1) , 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.
![](images-equation-work/slope-intercept-to-point-slope/p2/step3.gif)