Precalculus Examples

Find the Equation with a Point and Y-Intercept
,
Find the value of using the formula for the equation of a line.
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 .
Move to the left of the expression .
Multiply by to get .
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 subtracting from both sides.
Subtract from to get .
Divide each term by and simplify.
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Divide each term in by .
Reduce the expression by cancelling the common factors.
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Cancel the common factor.
Divide by 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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