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vesna_86 [32]
3 years ago
15

Line L passes through the points (1, 1) and (7, 8). What is the slope of a line that is perpendicular to line L?

Mathematics
1 answer:
asambeis [7]3 years ago
8 0

When a line passes through the two points (x_{1},y_{1}) and (x_{2},y_{2}) , its slope is given by the formula m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

In this question, a line L passes through the points (1,1) and (7,8)

So, its slope is given by m=\frac{8-1}{7-1}

m=\frac{7}{6}

When two lines are perpendicular, then the product of their slopes is -1.

Since, the slope of the line L is \frac{7}{6} , so the slope of the line which is perpendicular to the given line L is \frac{-6}{7} as the product of \frac{-6}{7} \times \frac{7}{6}=-1.

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