Line L passes through the points (4 , -5) and (3 , 7). Find the slope of any line perpendicular to line L.

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justaguide eNotes educator | Certified Educator

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The slope of the line L passing through the points ( 4 , -5) and (3 , 7) is given by :

slope = ( -5 - 7) / (4 - 3)

=> -12 / 1

The slope of a line perpendicular to this would be m such that m*(-12) = -1

=> m = 1/12

The required slope...

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hala718 eNotes educator | Certified Educator

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giorgiana1976 | Student

The slope of the given line is:

m = [7-(-5)]/(3-4)

m = 12/-1 = -12

The slope of the perpendicular line is m1 and we know that the product of the slopes of 2 perpendicular lines is -1.

m*m1 = -1

-12*m1 = -1

m1 = 1/12

The slope of the perpendicular line is: m1 = 1/12.

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