Chapter 4.5, Problem 25SR

To determine

Whether the graph of pair of equations $y=3x+2$ and $y=-\frac{1}{3}x-2$ are parallel or not.

Answer to Problem 25SR

The given pair of equations will be perpendicular.

Explanation of Solution

Given information: The given lines are $y=3x+2$ and $y=-\frac{1}{3}x-2$ .

Concept used: If a line is perpendicular to another line then the slope of that line will be negative reciprocal.

Calculation: Slopeof the line $y=3x+2$ is equal to $3$ , whereas the slope of line $y=-\frac{1}{3}x-2$ is equal to $-\frac{1}{3}$ .

Since, these two slopes are negative reciprocal to each other, therefore the given pair of equations will be perpendicular.