Pre-Algebra Examples

Find the Equation Using Point-Slope Formula
,
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 to get .
Subtract from to get .
Simplify the denominator.
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Remove parentheses.
Multiply by to get .
Add and to get .
Move the negative in front of the fraction.
Use the slope and one of the given points such as to substitute for and in the point-slope form , which is derived from the slope equation .
Solve for to get the equation.
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After finding the slope between the points, use point-slope form to set up the equation. Point-slope is derived from the equation for slope .
Multiply by to get .
Simplify the right side.
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Simplify the expression.
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Multiply by to get .
Apply the distributive property.
Simplify .
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Write as a fraction with denominator .
Multiply and to get .
Simplify .
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Multiply by to get .
Write as a fraction with denominator .
Multiply and to get .
Multiply by to get .
Simplify each term.
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Move to the left of the expression .
Multiply by to get .
Move the negative in front of the fraction.
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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To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Combine.
Multiply by to get .
Combine the numerators over the common denominator.
Multiply by to get .
Multiply by to get .
Subtract from to get .
The final answer is the equation in slope-intercept form.
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