Question

Using the indicated slopes of lines and L1 and L2, determine whether the lines are parallel, perpendicular, or neither.Assume that the lines are not the same. M1= 4/7, M₂= -7/4 Choose the correct answer below. a)Parallel b)Perpendicular c)Neither

Answer 1

the lines are perpendicular (option B)

Step-by-step explanation:

For L1 and L2 to be parallel, their slopes must be equal

That is: M1 = M₂

The given slope: M1= 4/7, M₂= -7/4

Hence, they are not parallel as they are not equal

For the lines to be perpendicular, one of the the slope will be the negative reciprocal of the other one:

M1 = 4/7

Reciprocal of M1 = 7/4

Reciprocal means inverse. For

Negative Reciprocal of M1 = -7/4

This is equal to M₂

Hence, the lines are perpendicular (option B)