# Find the Slope of a Perpendicular Line 6x+4y=-4

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 by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify .
Simplify each term.
Divide by .
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Move the negative in front of the fraction.
Reorder and .
Rewrite in slope-intercept form.
Using the slope-intercept form, the slope is .
The equation of a perpendicular line to must have a slope that is the negative reciprocal of the original slope.
Simplify the result.
Cancel the common factor of and .
Rewrite as .
Move the negative in front of the fraction.
Multiply the numerator by the reciprocal of the denominator.
Multiply by .
Multiply .
Multiply by .
Multiply by .
Find the Slope of a Perpendicular Line 6x+4y=-4
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