Find the Perpendicular Line -3x-6y=17 ; (6,3)

Math
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Solve .
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Add to 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 each term.
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Move the negative in front of the fraction.
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.
Move the negative in front of the fraction.
Find the slope when .
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Rewrite in slope-intercept form.
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The slope-intercept form is , where is the slope and is the y-intercept.
Reorder and .
Rewrite in slope-intercept form.
Using the slope-intercept form, the slope is .
The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.
Simplify to find the slope of the perpendicular line.
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Cancel the common factor of and .
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Rewrite as .
Move the negative in front of the fraction.
Multiply the numerator by the reciprocal of the denominator.
Multiply by .
Multiply by .
Multiply by .
Find the equation of the perpendicular line using the pointslope formula.
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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.
Write in form.
Find the Perpendicular Line -3x-6y=17 ; (6,3)

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