Chapter 13.3, Problem 7CE

To determine

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

Answer to Problem 7CE

The lines are parallel.

Explanation of Solution

Given:

The slope of two lines are

  $-\frac{2}{3};\frac{2}{-3}$

Calculation:

Two lines are parallel when they have same slope.

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

Since, slope of given two lines are equal

  $-\frac{2}{3}=\frac{2}{-3}$

Therefore, the lines are parallel.