Precalculus Examples

Find the Equation Using Point-Slope Formula
Step 1
Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .
Step 2
Simplify the equation and keep it in point-slope form.
Step 3
Solve for .
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Step 3.1
Simplify .
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Step 3.1.1
Step 3.1.2
Simplify by adding zeros.
Step 3.1.3
Apply the distributive property.
Step 3.1.4
Combine and .
Step 3.1.5
Combine and .
Step 3.1.6
Move the negative in front of the fraction.
Step 3.2
Move all terms not containing to the right side of the equation.
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Step 3.2.1
Add to both sides of the equation.
Step 3.2.2
To write as a fraction with a common denominator, multiply by .
Step 3.2.3
Combine and .
Step 3.2.4
Combine the numerators over the common denominator.
Step 3.2.5
Simplify the numerator.
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Multiply by .
Add and .
Step 3.3
Reorder terms.
Step 4
List the equation in different forms.
Slope-intercept form:
Point-slope form:
Step 5
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