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Pre-Algebra Examples
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Step 1
Step 1.1
Slope is equal to the change in over the change in , or rise over run.
Step 1.2
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).
Step 1.3
Substitute in the values of and into the equation to find the slope.
Step 1.4
Simplify.
Step 1.4.1
Reduce the expression by cancelling the common factors.
Step 1.4.1.1
Cancel the common factor of and .
Step 1.4.1.1.1
Rewrite as .
Step 1.4.1.1.2
Factor out of .
Step 1.4.1.1.3
Reorder terms.
Step 1.4.1.1.4
Factor out of .
Step 1.4.1.1.5
Cancel the common factors.
Step 1.4.1.1.5.1
Factor out of .
Step 1.4.1.1.5.2
Factor out of .
Step 1.4.1.1.5.3
Factor out of .
Step 1.4.1.1.5.4
Cancel the common factor.
Step 1.4.1.1.5.5
Rewrite the expression.
Step 1.4.1.2
Add and .
Step 1.4.2
Simplify the denominator.
Step 1.4.2.1
Multiply by .
Step 1.4.2.2
Add and .
Step 1.4.3
Reduce the expression by cancelling the common factors.
Step 1.4.3.1
Multiply by .
Step 1.4.3.2
Cancel the common factor of and .
Step 1.4.3.2.1
Factor out of .
Step 1.4.3.2.2
Cancel the common factors.
Step 1.4.3.2.2.1
Factor out of .
Step 1.4.3.2.2.2
Cancel the common factor.
Step 1.4.3.2.2.3
Rewrite the expression.
Step 2
Step 2.1
Substitute the value of into the slope-intercept form of the equation, .
Step 2.2
Substitute the value of into the slope-intercept form of the equation, .
Step 2.3
Substitute the value of into the slope-intercept form of the equation, .
Step 2.4
Rewrite the equation as .
Step 2.5
Cancel the common factor of .
Step 2.5.1
Factor out of .
Step 2.5.2
Cancel the common factor.
Step 2.5.3
Rewrite the expression.
Step 2.6
Move all terms not containing to the right side of the equation.
Step 2.6.1
Add to both sides of the equation.
Step 2.6.2
Add and .
Step 3
List the slope and y-intercept.
Slope:
y-intercept:
Step 4