How to convert a Line from standard form to slope intercept, as demonstrated by the pictures below.
![Standard Form](images/standard-form-equation-graphs/stand-form-thumb.gif)
![Arrow right](/images/arrow_right_large.gif)
![General Formula Slope Intercept Form](images/slope-intercept-form/slope-intecept-beta.gif)
Example of Converting from Standard Form to Slope Intercept
Example
Isolate the 'y' term.
![Step 1](images-equation-work/standard-to-slope-intercept/ex1/step1.gif)
Multiply all terms by the multiplicative inverse of the coefficient of y.
![Step 2](images-equation-work/standard-to-slope-intercept/ex1/step2.gif)
Simplify.
![Step 3](images-equation-work/standard-to-slope-intercept/ex1/step3.gif)
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.
![loading and calculating...](../images/pre-loaders/ajax-loader-4.gif)
Answer:
$ $
Practice Converting Equations
Practice 1
Isolate the 'y' term.
![Step 1](images-equation-work/standard-to-slope-intercept/p1/step1.gif)
Multiply all terms by the multiplicative inverse of the coefficient of y.
![Step 2](images-equation-work/standard-to-slope-intercept/p1/step2a.gif)
Simplify.
![Step 3](images-equation-work/standard-to-slope-intercept/p1/step2.gif)
Practice 2
Isolate the 'y' term.
![Step 1](images-equation-work/standard-to-slope-intercept/p2/step1.gif)
Multiply all terms by the multiplicative inverse of the coefficient of y.
![Step 2](images-equation-work/standard-to-slope-intercept/p2/step2.gif)
Simplify.
![Step 3](images-equation-work/standard-to-slope-intercept/p2/step3.gif)
Practice 3
Isolate the 'y' term.
![Step 1](images-equation-work/standard-to-slope-intercept/p3/step1.gif)
Multiply all terms by the multiplicative inverse of the coefficient of y.
![Step 2](images-equation-work/standard-to-slope-intercept/p3/step2.gif)
Simplify.
![Step 3](images-equation-work/standard-to-slope-intercept/p3/sep3.gif)
More challenging problems
Practice 4
Isolate the 'y' term.
![Step 1](images-equation-work/standard-to-slope-intercept/p5/step1.gif)
Multiply all terms by the multiplicative inverse of the coefficient of y.
![Step 2](images-equation-work/standard-to-slope-intercept/p5/step2.gif)
Simplify.
![Step 3](images-equation-work/standard-to-slope-intercept/p5/step3.gif)
Practice 5
Isolate the 'y' term.
![Step 1](images-equation-work/standard-to-slope-intercept/p4/step1.gif)
Multiply all terms by the multiplicative inverse of the coefficient of y.
![Step 2](images-equation-work/standard-to-slope-intercept/p4/step2.gif)
Simplify.
![Step 3](images-equation-work/standard-to-slope-intercept/p4/step3.gif)
Practice 6
Isolate the 'y' term.
![Step 1](images-equation-work/standard-to-slope-intercept/p6/step1.gif)
Multiply all terms by the multiplicative inverse of the coefficient of y.
![Step 2](images-equation-work/standard-to-slope-intercept/p6/step2.gif)
Simplify.
![Step 3](images-equation-work/standard-to-slope-intercept/p6/step4.gif)
- 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)