﻿ Slope Intercept to Point Slope form of a Line -examples and practice problems with work

# Slope Intercept to Point Slope Form of a Line

How to convert , examples, steps and Video Tutorial

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 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. 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

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 could use.

Step 2

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

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 could use.

Step 2

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.

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