Find the Equation Using Point-Slope Formula (7,5) , (4,1)

Math
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Find the slope of the line between and using , which is the change of over the change of .
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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.
Simplify.
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Simplify the numerator.
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Multiply by .
Subtract from .
Simplify the denominator.
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Multiply by .
Subtract from .
Dividing two negative values results in a positive value.
Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .
Simplify the equation and keep it in point-slope form.
Solve for .
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Simplify .
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Apply the distributive property.
Combine and .
Multiply .
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Combine and .
Multiply by .
Move the negative in front of the fraction.
Move all terms not containing to the right side of the equation.
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Add to both sides of the equation.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by .
Add and .
Move the negative in front of the fraction.
Reorder terms.
List the equation in different forms.
Slope-intercept form:
Point-slope form:
Find the Equation Using Point-Slope Formula (7,5) , (4,1)


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