Question

Which lines are perpendicular?

I. y = 7/3x - 7
II. y + 1 = -1/3(x - 1/7)
III. y = 3/7x - 1/5

A) I and II
B) I and III
C) II and III
D) None of the above

Answer 1

The lines that are perpendicular are I. y = 7/3x - 7 and III. y = 3/7x - 1/5. To determine if two lines are perpendicular, we must check if the product of their slopes is equal to -1.

Step-by-step explanation:

The lines that are perpendicular are I. y = 7/3x - 7 and III. y = 3/7x - 1/5.

To determine if two lines are perpendicular, we must check if the product of their slopes is equal to -1.

For line I, the slope is 7/3. For line III, the slope is 3/7. If we multiply these slopes, we get (7/3) imes (3/7) = 1, which is not equal to -1. Therefore, lines I and III are not perpendicular. So the correct answer is C) II and III.