Chapter 13.6, Problem 33WE

a.

To determine

To find: the slope of the line.

Answer to Problem 33WE

The slope of the line is $m=2\&m=-\frac{1}{2}$ .

Explanation of Solution

Given information: The lines $2x-y=7$ and $x+2y=4$ .

Calculation:

The equation of slope is $y=mx+c$ .

  $\begin{array}{l}y=2x-7\\ m=2\\ 2y=-x+4\\ y=-\frac{1}{2}x+2\\ m=-\frac{1}{2}\end{array}$

b.

To determine

To explain: about the lines.

Explanation of Solution

Given information: The lines $2x-y=7$ and $x+2y=4$ .

  $m_1\times m_2=-1$

Since, these lines are perpendicular.