Question

Two lines are perpendicular if the product of their slopes is *

a) -1

b) 1

c) 0

d) None of these​

Answer 1

Answer:

-1

Step-by-step explanation:

slope of line 1 x slope of line 2 = -1

thus the lines are perpendicular

Answer 2

Concept

The slope of a line in the plane comprising the x and y axes is defined as the change in the y coordinate divided by the equivalent change in the x coordinate, between two separate places on the line.

Given

Two lines are perpendicular if the product of their slopes is *

a) -1

b) 1

c) 0

d) None of these​

Find

We are asked to choose the correct option.

Solution

When two nonvertical lines are perpendicular, their slopes are opposite reciprocals of each other, or their product is -1.

Hence the correct option (a) which is -1