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.

Video Tutorial

on Standard to Point Slope Form

Example of Converting from Standard Form

to Point Slope Form of a Line

Example

Convert 3x + 5y = 15 to point slope form

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

Practice 1

Convert 3y − 2x = −12 to point slope form

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

Practice 2

Convert 4y − 5x = 20 to point slope form

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

Practice 3

Convert 2x + 3y = 18 to point slope form

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

Practice 4

Convert the equation to point slope form

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

Practice 4

Convert to point slope form

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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