﻿ Standard Form to Slope Intercept-Tutorial with examples, steps and pictures

# Standard Form to Point Slope Form

How to convert from Ax + By = C to y - y1 = m(x-x1)

It is a common task to have to convert the equation of a line from standard form to point slope form.

### Example of Converting from Standard Form to Point Slope Form of a Line

Step 1

Isolate the 'y' term

Step 2

Multiply all terms by the multiplicative inverse of the coefficient of y

Step 3

Simplify

Step 4

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!Then substitute the x and y values that found into the point slope formula

### Practice Converting Equations

Step 1

Isolate the 'y' term

Step 2

Multiply all terms by the multiplicative inverse of the coefficient of y

Step 3

Simplify

Step 4

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 = 3. Yes, you could choose x=0 and make your life really easy!Then substitute the x and y values that found into the point slope formula

Step 1

Isolate the 'y' term

Step 2

Multiply all terms by the multiplicative inverse of the coefficient of y

Step 3

Simplify

Step 4

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 = 3. Yes, you could choose x=0 and make your life really easy!Then substitute the x and y values that found into the point slope formula

Step 1

Isolate the 'y' term

Step 2

Multiply all terms by the multiplicative inverse of the coefficient of y

Step 3

Simplify

Step 4

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 = 3. Yes, you could choose x=0 and make your life really easy!Then substitute the x and y values that found into the point slope formula

### More challenging problems

Step 1

Isolate the 'y' term

Step 2

Multiply all terms by the multiplicative inverse of the coefficient of y

Step 3

Simplify

Step 4

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 = 3. Yes, you could choose x=0 and make your life really easy!Then substitute the x and y values that found into the point slope formula

Step 1

Isolate the 'y' term

Step 2

Multiply all terms by the multiplicative inverse of the coefficient of y

Step 3

Simplify

Step 4

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 = 3. Yes, you could choose x=0 and make your life really easy!Then substitute the x and y values that found into the point slope formula

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