Find the Equation Using Two Points (1/6,-1/3) , (5/6,1)

Math
,
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 .
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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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Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Move the leading negative in into the numerator.
Cancel the common factor.
Rewrite the expression.
Simplify the numerator.
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Multiply by .
Multiply .
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Multiply by .
Multiply by .
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Add and .
Simplify the expression.
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Subtract from .
Divide by .
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 .
Cancel the common factor of .
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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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Subtract from both sides of the equation.
Subtract from .
Combine and .
Move the negative in front of the fraction.
Now that the values of (slope) and (y-intercept) are known, substitute them into to find the equation of the line.
Find the Equation Using Two Points (1/6,-1/3) , (5/6,1)


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