
Related Links:
 Equation of Line Formula
 Slope Intercept Form
 Standard Form of Line
 Linear Equations Worksheets (standard form, slope intercept form and more)
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
Isolate the 'y' term
Multiply all terms by the multiplicative inverse of the coefficient of y
Simplify
Substitute a convenient value of x into your equation and solve for y (You're doing this to get the point x_{1},y_{1}). 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
Isolate the 'y' term
Multiply all terms by the multiplicative inverse of the coefficient of y
Simplify
Substitute a convenient value of x into your equation and solve for y (You're doing this to get the point x_{1},y_{1}). 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
Isolate the 'y' term
Multiply all terms by the multiplicative inverse of the coefficient of y
Simplify
Substitute a convenient value of x into your equation and solve for y (You're doing this to get the point x_{1},y_{1}). 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
Isolate the 'y' term
Multiply all terms by the multiplicative inverse of the coefficient of y
Simplify
Substitute a convenient value of x into your equation and solve for y (You're doing this to get the point x_{1},y_{1}). 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
Isolate the 'y' term
Multiply all terms by the multiplicative inverse of the coefficient of y
Simplify
Substitute a convenient value of x into your equation and solve for y (You're doing this to get the point x_{1},y_{1}). 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
Isolate the 'y' term
Multiply all terms by the multiplicative inverse of the coefficient of y
Simplify
Substitute a convenient value of x into your equation and solve for y (You're doing this to get the point x_{1},y_{1}). 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

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