If two lines are perpendicular and the slope of one line is $\frac { 2 } { 7 }$ , then the slope of the other line is
A) $\frac { 7 } { 2 }$
B) $- \frac { 2 } { 7 }$
C) $\frac { 2 } { 7 }$
D) $- \frac { 7 } { 2 }$

Question

Quizplus · Accepted Answer

If two lines are perpendicular, then the product of their slopes is equal to -1. Let the slope of the second line be m. Then, we have:

$$\left(\frac{2}{7}\right)(m) = -1$$

Solving for m, we get:

$$m = -\frac{7}{2}$$

Therefore, the slope of the other line is -7/2, which is choice D.

If Two Lines Are Perpendicular and the Slope of One 27\frac { 2 } { 7 }72​

If Two Lines Are Perpendicular and the Slope of One $\frac { 2 } { 7 }$