Finite Math Examples

Find the Slope and y-intercept 10-1/3y=3x
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
Apply the distributive property.
Step 1.5.2.1.2
Multiply.
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Step 1.5.2.1.2.1
Multiply by .
Step 1.5.2.1.2.2
Multiply by .
Step 2
Use the slope-intercept form to find the slope and y-intercept.
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Step 2.1
Find the values of and using the form .
Step 2.2
The slope of the line is the value of , and the y-intercept is the value of .
Slope:
y-intercept:
Slope:
y-intercept:
Step 3