Chapter 13.3, Problem 5CE

To determine

To find whether the slope of two lines given are parallel, perpendicular or neither.

Answer to Problem 5CE

The lines are perpendicular..

Explanation of Solution

Given:

The slope of two lines are

  $-\frac{3}{4};\frac{4}{3}$

Calculation:

Two lines are parallel when they have same slope.

Two lines are perpendicular when product of there slope is $-1$ .

Since, the product of slopes of given line is $-1$

  $-\frac{3}{4}\times \frac{4}{3}=-1$

Therefore, the lines are perpendicular.