Pre-Algebra Examples

Find the Slope and y-intercept (-3,0) , (0,-3)
,
Step 1
Find the value of the slope.
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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.
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Step 1.4.1
Reduce the expression by cancelling the common factors.
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Step 1.4.1.1
Cancel the common factor of and .
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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.
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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.
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Step 1.4.2.1
Multiply by .
Step 1.4.2.2
Add and .
Step 1.4.3
Simplify the expression.
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Step 1.4.3.1
Multiply by .
Step 1.4.3.2
Divide by .
Step 2
Find the value of the y-intercept.
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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
Multiply by .
Step 2.6
Subtract from both sides of the equation.
Step 3
List the slope and y-intercept.
Slope:
y-intercept:
Step 4