Slope Intercept to Standard Form

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

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

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It is a common to ask to have to convert equation of line from slope intercept to standard form, as demonstrated by the pictures below.

Example of Converting from Slope Intercept to Standard Form

Convert , graphed on the right, to standard form.

Step 1) Multiply by the least common denominator of the fractions (if any)	The only fraction is so you can multiply everything by 4.
Step 2) Solve for the y-intercept (or "b" in the slope intercept equation) which is 20 in this example.

Problem 1) Convert the the equation below from slope intercept form to standard form

First Steps

Step 1) Multiply by the least common denominator of the fractions

The only fraction is so you can multiply everything by 3.

Rest of Steps

Step 2) Solve for the y-intercept (or "b" in the slope intercept equation) which is 12 in this problem.

Problem 2 ) Change the the equation below from slope intercept to standard from

First Steps

Step 1) Multiply by the least common denominator of the fractions (if any)

The only fraction is so you can multiply everything by 2.

Rest of Steps

Step 2) Solve for the y-intercept (or "b" in the slope intercept equation) which is 10 in this problem.

Problem 3) Convert the the equation below from slope intercept to standard from

First Steps

Step 1) Multiply all terms by the least common denominator of the fractions

Unlike the prior examples, this problem has two fractions so you can multiply everything by their common denominator of 9.

Rest of Steps

Step 2) Solve for the y-intercept (or "b" in the slope intercept equation) which, in this example, is 5 .

Problem 4) Convert the the equation below from slope intercept to standard from

First Steps

Step 1) Multiply all terms by the least common denominator of the fractions

This problem only has the fraction so we must multiply everything by 7.

Rest of Steps

Step 2) Solve for the y-intercept (or "b" in the slope intercept equation) which, in this example, is 4.

Problem 5) Convert the the equation below from slope intercept to standard from (yes, this is a very challenging problem so let's see how sharp your algebra skills are.)

First Steps

Step 1) Multiply all terms by the least common denominator of the fractions

This problem only has the fraction so we must multiply everything by c.

Rest of Steps

Step 2) Solve for the y-intercept (or "b" in the slope intercept equation) which, in this example, is the variable 'b'.

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

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