Find the Slope of a Perpendicular Line 7x-4y=-2

Math
Rewrite in slope-intercept form.
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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.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify .
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Simplify each term.
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Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Dividing two negative values results in a positive value.
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.
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Multiply the numerator by the reciprocal of the denominator.
Multiply by .
Find the Slope of a Perpendicular Line 7x-4y=-2

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