Standard Form to Slope Intercept Form

How to convert a Line from standard form to slope intercept , as demonstrated by the pictures below.

Video Tutorial on Converting Equation

Example of Converting from Standard Form to Slope Intercept

Example

Convert 3x + 5y = 15 , graphed below, to slope intercept form.

Isolate the 'y' term.

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

Use our Calculator

You can use the calculator below to find the equation of a line from any two points. Just type numbers into the boxes below and the calculator (which has its own page here) will automatically calculate the equation of line in standard and slope intercept forms.

(Try this 'equation from 2 points' calculator on its own page here .)

(This link will show the same work that you can see on this page)

Practice Converting Equations

Practice 1

Convert 3y − 2x = −12 , graphed below, to slope intercept form.