Pre-Algebra Examples

Find the y-intercept y-4=-3/5*(x-4)
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 right side.
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Step 1.2.1
Simplify .
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Step 1.2.1.1
Apply the distributive property.
Step 1.2.1.2
Combine and .
Step 1.2.1.3
Multiply .
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Step 1.2.1.3.1
Multiply by .
Step 1.2.1.3.2
Combine and .
Step 1.2.1.3.3
Multiply by .
Step 1.2.1.4
Move to the left of .
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
To write as a fraction with a common denominator, multiply by .
Step 1.3.3
Combine and .
Step 1.3.4
Combine the numerators over the common denominator.
Step 1.3.5
Simplify the numerator.
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Step 1.3.5.1
Multiply by .
Step 1.3.5.2
Add and .
Step 1.4
Write in form.
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Step 1.4.1
Reorder terms.
Step 1.4.2
Remove parentheses.
Step 2
Using the slope-intercept form, the y-intercept is .
Step 3
y-intercept in point form.
Step 4