Pre-Algebra Examples

Find the Slope and y-intercept (3,10) , (-14,-4)
,
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
Simplify the numerator.
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Step 1.4.1.1
Multiply by .
Step 1.4.1.2
Subtract from .
Step 1.4.2
Simplify the denominator.
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Step 1.4.2.1
Multiply by .
Step 1.4.2.2
Subtract from .
Step 1.4.3
Dividing two negative values results in a positive value.
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 .
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Step 2.5.1
Combine and .
Step 2.5.2
Multiply by .
Step 2.6
Move all terms not containing to the right side of the equation.
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Step 2.6.1
Subtract from both sides of the equation.
Step 2.6.2
To write as a fraction with a common denominator, multiply by .
Step 2.6.3
Combine and .
Step 2.6.4
Combine the numerators over the common denominator.
Step 2.6.5
Simplify the numerator.
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Step 2.6.5.1
Multiply by .
Step 2.6.5.2
Subtract from .
Step 3
List the slope and y-intercept.
Slope:
y-intercept:
Step 4