Pre-Algebra Examples

,
Use to calculate the equation of the line, where represents the slope and represents the y-intercept.
To calculate the equation of the line, use the format.
Slope is equal to the change in over the change in , or rise over run.
The change in is equal to the difference in x-coordinates (also called run), and the change in is equal to the difference in y-coordinates (also called rise).
Substitute in the values of and into the equation to find the slope.
Finding the slope m.
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Multiply the numerator and denominator of the complex fraction by .
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Multiply by .
Combine.
Apply the distributive property.
Simplify by cancelling.
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Cancel the common factor of .
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Rewrite.
Write as a fraction with denominator .
Factor out the greatest common factor .
Cancel the common factor.
Rewrite the expression.
Simplify.
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Multiply by to get .
Multiply and to get .
Multiply by to get .
Divide by to get .
Cancel the common factor of .
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Rewrite.
Write as a fraction with denominator .
Factor out the greatest common factor .
Cancel the common factor.
Rewrite the expression.
Reduce the expression by cancelling the common factors.
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Cancel the common factor.
Rewrite the expression.
Simplify.
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Multiply and to get .
Multiply by to get .
Divide by to get .
Simplify the numerator.
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Multiply by to get .
Subtract from to get .
Simplify the denominator.
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Rewrite.
Apply the distributive property.
Cancel the common factor of .
Reduce the expression by cancelling the common factors.
Simplify.
Multiply by to get .
Subtract from to get .
Reduce the expression by cancelling the common factors.
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Reduce the expression by cancelling the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Move the negative in front of the fraction.
Find the value of using the formula for the equation of a line.
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Use the formula for the equation of a line to find .
Substitute the value of into the equation.
Substitute the value of into the equation.
Substitute the value of into the equation.
Find the value of .
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Rewrite the equation as .
Simplify each term.
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Multiply by to get .
Simplify .
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Multiply and to get .
Multiply by to get .
Reduce the expression by cancelling the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Move all terms not containing to the right side of the equation.
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Since does not contain the variable to solve for, move it to the right side of the equation by adding to both sides.
Simplify the right side of the equation.
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Combine the numerators over the common denominator.
Add and to get .
Now that the values of (slope) and (y-intercept) are known, substitute them into to find the equation of the line.
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