Pre-Algebra Examples

Find the y-intercept -1/2x-4y+2=0
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
Move all terms not containing to the right side of the equation.
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Step 1.3.1
Add to both sides of the equation.
Step 1.3.2
Subtract from both sides of the equation.
Step 1.4
Divide each term in by and simplify.
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Step 1.4.1
Divide each term in by .
Step 1.4.2
Simplify the left side.
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Step 1.4.2.1
Cancel the common factor of .
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Step 1.4.2.1.1
Cancel the common factor.
Step 1.4.2.1.2
Divide by .
Step 1.4.3
Simplify the right side.
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Step 1.4.3.1
Simplify each term.
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Step 1.4.3.1.1
Multiply the numerator by the reciprocal of the denominator.
Step 1.4.3.1.2
Move the negative in front of the fraction.
Step 1.4.3.1.3
Multiply .
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Step 1.4.3.1.3.1
Multiply by .
Step 1.4.3.1.3.2
Multiply by .
Step 1.4.3.1.4
Cancel the common factor of and .
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Step 1.4.3.1.4.1
Factor out of .
Step 1.4.3.1.4.2
Cancel the common factors.
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Step 1.4.3.1.4.2.1
Factor out of .
Step 1.4.3.1.4.2.2
Cancel the common factor.
Step 1.4.3.1.4.2.3
Rewrite the expression.
Step 1.5
Write in form.
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Step 1.5.1
Reorder terms.
Step 1.5.2
Remove parentheses.
Step 2
Using the slope-intercept form, the y-intercept is .
Step 3
y-intercept in point form.
Step 4