Algebra Examples

Find the Equation Using Point-Slope Formula (8,-1) and slope m=-3
and slope
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
Rewrite.
Step 3.1.2
Simplify by adding zeros.
Step 3.1.3
Apply the distributive property.
Step 3.1.4
Multiply by .
Step 3.2
Move all terms not containing to the right side of the equation.
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Step 3.2.1
Subtract from both sides of the equation.
Step 3.2.2
Subtract from .
Step 4
List the equation in different forms.
Slope-intercept form:
Point-slope form:
Step 5