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Standard Form to Slope Intercept Form

How to convert from Ax + By = C to y = mx +b

linefrom standard form to slope intercept , as demonstrated by the pictures below.
General Formula Slope Intercept Form
Video Tutorial on Standard Form to Slope Intercept Form
Example of Converting from Standard Form to Slope Intercept


Convert 3x + 5y = 15, graphed below, to slope intercept form.
Step 1) Isolate the 'y' term
Step 2) Multiply all terms by the multiplicative inverse of the coefficient of y
Step 3) Simplify
Diagram of slope intercept form of line


Practice Converting Equations

Convert 3y − 2x = −12, graphed below, to slope intercept form.
Step 1) Isolate the 'y' term
Step 2) Multiply all terms by the multiplicative inverse of the coefficient of y
Step 3) Simplify
Diagram of slope intercept form of line




Convert 4y − 5x = 20, shown below, to slope intercept form.
Step 1) Isolate the 'y' term
Step 2) Multiply all terms by the multiplicative inverse of the coefficient of y
Step 3) Simplify
Diagram of slope intercept form of line


Convert 2x + 3y = 18, shown below, to slope intercept form.
Step 1) Isolate the 'y' term
Step 2) Multiply all terms by the multiplicative inverse of the coefficient of y
Step 3) Simplify
Diagram of standard form of line


More challenging problems

Convert to y = mx + b 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 1) Isolate the 'y' term
Step 2) Multiply all terms by the multiplicative inverse of the coefficient of y
Step 3) Simplify


Step 1) Isolate the 'y' term
Step 2) Multiply all terms by the multiplicative inverse of the coefficient of y
Step 3) Simplify