Chapter 13.2, Problem 5PSA

To determine

To find: The lines which are parallel.

Answer to Problem 5PSA

The equations (a) and (c) are parallel.

Explanation of Solution

Given:

The equations are as follows.

(a) $y=5x-1$

(b) $y=7x+2$

(c) $y=2+5x$ .

Calculation:

Compare the equation $y=5x-1$ with $y=mx+b$ .

  $\begin{array}{c}m=5\\ b=1\end{array}$

Compare the equation $y=7x+2$ with $y=mx+b$ .

  $\begin{array}{c}m=7\\ b=2\end{array}$

Compare the equation $y=2+5x$ with $y=mx+b$ .

  $\begin{array}{c}m=5\\ b=2\end{array}$

The equations $y=5x-1$ , and $y=2+5x$ have same slope. So, these equations are parallel.

Therefore, the equations (a) and (c) are parallel.