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Line l has a slope of 12/11. The line through which of the following pair of points is perpendicular to l

A. (21,−4),(−5,7)
B. (−7,−5),(4,7)
C. (7,−7),(−5,4)
D. (−2,−5),(4,7)

User Hendrik F
by
8.4k points

2 Answers

4 votes

Answer:

C

Explanation:

its c

User Matt Bishop
by
7.9k points
2 votes

Given:

The slope of a line l is
(12)/(11).

To find:

The pair of points of a line which is perpendicular to the line l.

Solution:

If the slope of a line is
m, then the slope of the line which is perpendicular to the line is
-(1)/(m).

The slope of a line l is
(12)/(11). So, the slope of the perpendicular line is
-(11)/(12).

Slope formula:


m=(y_2-y_1)/(x_2-x_1)

In option A, the pair of points is (21,−4) and (−5,7).


m_1=(7-(-4))/(-5-21)


m_1=(11)/(-26)

In option B, the pair of points is (−7,−5) and (4,7).


m_2=(7-(-5))/(4-(-7))


m_2=(12)/(11)

In option C, the pair of points is (7,−7) and (−5,4).


m_3=(4-(-7))/(-5-7)


m_3=(11)/(-12)


m_3=-(11)/(12)

In option D, the pair of points is (−2,−5) and (4,7).


m_4=(7-(-5))/(4-(-2))


m_4=(12)/(6)


m_4=2

The slope of the line is
-(11)/(12) if the line passes through the points (7,−7) and (−5,4).

Therefore, the correct option is C.

User Razvan
by
9.0k points

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