# Find the Parallel Line (5,-2) that is parallel to the line 5x+6y=7

Find the Parallel Line (5,-2) that is parallel to the line 5x+6y=7
that is parallel to the line
Rewrite in slope-intercept form.
The slope-intercept form is , where is the slope and is the y-intercept.
Subtract from both sides of the equation.
Divide each term in by and simplify.
Divide each term in by .
Simplify the left side.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify the right side.
Move the negative in front of the fraction.
Write in form.
Reorder and .
Reorder terms.
Remove parentheses.
Using the slope-intercept form, the slope is .
To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.
Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .
Simplify the equation and keep it in point-slope form.
Solve for .
Simplify .
Rewrite.
Apply the distributive property.
Combine and .
Multiply .
Multiply by .
Combine and .
Multiply by .
Move to the left of .
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Subtract from .
Write in form.
Reorder terms.
Remove parentheses.
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