Pre-Algebra Examples

Find the y-intercept x+1/2y=2
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
Cancel the common factor of .
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Step 1.5.1.1.1
Cancel the common factor.
Step 1.5.1.1.2
Rewrite the expression.
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 1.6
Reorder and .
Step 2
Using the slope-intercept form, the y-intercept is .
Step 3
y-intercept in point form.
Step 4