Pre-Algebra Examples

Find the Slope 2/27x-y/3=1
Step 1
Rewrite in slope-intercept form.
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Step 1.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 1.2
Simplify the left side.
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Step 1.2.1
Combine and .
Step 1.3
Subtract from both sides of the equation.
Step 1.4
Multiply both sides of the equation by .
Step 1.5
Simplify both sides of the equation.
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Step 1.5.1
Simplify the left side.
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Step 1.5.1.1
Simplify .
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Step 1.5.1.1.1
Cancel the common factor of .
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Step 1.5.1.1.1.1
Move the leading negative in into the numerator.
Step 1.5.1.1.1.2
Factor out of .
Step 1.5.1.1.1.3
Cancel the common factor.
Step 1.5.1.1.1.4
Rewrite the expression.
Step 1.5.1.1.2
Multiply.
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Step 1.5.1.1.2.1
Multiply by .
Step 1.5.1.1.2.2
Multiply by .
Step 1.5.2
Simplify the right side.
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Step 1.5.2.1
Simplify .
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Step 1.5.2.1.1
Simplify terms.
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Step 1.5.2.1.1.1
Apply the distributive property.
Step 1.5.2.1.1.2
Multiply by .
Step 1.5.2.1.1.3
Cancel the common factor of .
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Step 1.5.2.1.1.3.1
Move the leading negative in into the numerator.
Step 1.5.2.1.1.3.2
Factor out of .
Step 1.5.2.1.1.3.3
Factor out of .
Step 1.5.2.1.1.3.4
Cancel the common factor.
Step 1.5.2.1.1.3.5
Rewrite the expression.
Step 1.5.2.1.2
Simplify each term.
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Step 1.5.2.1.2.1
Move the negative in front of the fraction.
Step 1.5.2.1.2.2
Multiply .
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Step 1.5.2.1.2.2.1
Multiply by .
Step 1.5.2.1.2.2.2
Multiply by .
Step 1.6
Reorder and .
Step 1.7
Reorder terms.
Step 2
Using the slope-intercept form, the slope is .
Step 3