How to convert a Line from standard form to slope intercept, as demonstrated by the pictures below.
Example of Converting from Standard Form to Slope Intercept
Example
Convert 3x + 5y = 15, graphed below, to slope intercept form.
Step 1
![Step 1]()
Isolate the 'y' term.
Step 2
![Step 2]()
Multiply all terms by the multiplicative inverse of the coefficient of y.
Step 3
![Step 3]()
Simplify.
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.
Answer:
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Practice Converting Equations
Practice 1
Convert 3y − 2x = −12, graphed below, to slope intercept form.
Step 1
![Step 1]()
Isolate the 'y' term.
Step 2
![Step 2]()
Multiply all terms by the multiplicative inverse of the coefficient of y.
Step 3
![Step 3]()
Simplify.
Practice 2
Convert 4y − 5x = 20, shown below, to slope intercept form.
Step 1
![Step 1]()
Isolate the 'y' term.
Step 2
![Step 2]()
Multiply all terms by the multiplicative inverse of the coefficient of y.
Step 3
![Step 3]()
Simplify.
Practice 3
Convert 2x + 3y = 18, shown below, to slope intercept form.
Step 1
![Step 1]()
Isolate the 'y' term.
Step 2
![Step 2]()
Multiply all terms by the multiplicative inverse of the coefficient of y.
Step 3
![Step 3]()
Simplify.
More challenging problems
Practice 4
Convert
to y = mx + b form
Step 1
![Step 1]()
Isolate the 'y' term.
Step 2
![Step 2]()
Multiply all terms by the multiplicative inverse of the coefficient of y.
Step 3
![Step 3]()
Simplify.
Practice 5
Convert
to slope intercept form.
Step 1
![Step 1]()
Isolate the 'y' term.
Step 2
![Step 2]()
Multiply all terms by the multiplicative inverse of the coefficient of y.
Step 3
![Step 3]()
Simplify.
Practice 6
Convert
to slope intercept form.
Step 1
![Step 1]()
Isolate the 'y' term.
Step 2
![Step 2]()
Multiply all terms by the multiplicative inverse of the coefficient of y.
Step 3
![Step 3]()
Simplify.
Related Links:
- Linear Equations
- Equation of Line Formula
- Slope Intercept Form
- Standard Form of Line
- Slope Intercept to Standard Form
- Linear Equations Worksheets (standard form, slope intercept form and more)
