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Finite Math Examples
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Step 1
Step 1.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 1.2
Subtract from both sides of the equation.
Step 1.3
Divide each term in by and simplify.
Step 1.3.1
Divide each term in by .
Step 1.3.2
Simplify the left side.
Step 1.3.2.1
Cancel the common factor of .
Step 1.3.2.1.1
Cancel the common factor.
Step 1.3.2.1.2
Divide by .
Step 1.3.3
Simplify the right side.
Step 1.3.3.1
Simplify each term.
Step 1.3.3.1.1
Move the negative in front of the fraction.
Step 1.3.3.1.2
Dividing two negative values results in a positive value.
Step 1.4
Write in form.
Step 1.4.1
Reorder and .
Step 1.4.2
Reorder terms.
Step 2
Using the slope-intercept form, the slope is .
Step 3
To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.
Step 4
Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .
Step 5
Simplify the equation and keep it in point-slope form.
Step 6
Step 6.1
Simplify .
Step 6.1.1
Rewrite.
Step 6.1.2
Simplify by adding zeros.
Step 6.1.3
Apply the distributive property.
Step 6.1.4
Combine and .
Step 6.1.5
Multiply .
Step 6.1.5.1
Combine and .
Step 6.1.5.2
Multiply by .
Step 6.1.6
Move the negative in front of the fraction.
Step 6.2
Move all terms not containing to the right side of the equation.
Step 6.2.1
Subtract from both sides of the equation.
Step 6.2.2
To write as a fraction with a common denominator, multiply by .
Step 6.2.3
Combine and .
Step 6.2.4
Combine the numerators over the common denominator.
Step 6.2.5
Simplify the numerator.
Step 6.2.5.1
Multiply by .
Step 6.2.5.2
Subtract from .
Step 6.2.6
Move the negative in front of the fraction.
Step 6.3
Reorder terms.
Step 7