Slope Intercept to Point Slope Form of a Line

How to convert , examples, steps and Video Tutorial

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Related Links Equation of Line Formula | Point Slope Form of a Line | Slope Intercept Form
Linear Equations Worksheets (standard form, slope intercept form and more)

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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

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Convert to point slope form.

Step 1) 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.
Step 2) Substitute the point you found , (x1, y1) , into the point slope formula. Remeber 'm' is the same in both slope intercept and point slope forms so you can take the directly from the slope intercept equation.

Problem 1) Convert the the equation below from slope intercept form to point slope form.

First Steps

Step 1)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 coudl use.

Rest of Steps

Step 2) Substitute the point you found , (x1, y1) , into the point slope formula. Remeber 'm' is the same in both slope intercept and point slope forms so you can take the directly from the slope intercept equation.

Problem 2) Convert the the equation below from slope intercept form to point slope form.

First Steps

Step 1)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 coudl use.

Rest of Steps

Step 2) Substitute the point you found , (x1, y1) , into the point slope formula. Remeber 'm' is the same in both slope intercept and point slope forms so you can take the directly from the slope intercept equation.