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)

Given:

The slope of a line l is .

To find:

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

Solution:

If the slope of a line is , then the slope of the line which is perpendicular to the line is .

The slope of a line l is . So, the slope of the perpendicular line is .

Slope formula:

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

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

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

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

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

Therefore, the correct option is C.