Chapter 13, Problem 10RP

To determine

To find: The slope of the graph and determine if the lines are perpendicular, parallel or neither.

Answer to Problem 10RP

The slope is negative then the lines are perpendicular to each other.

Explanation of Solution

Given:

The given equation of the line is $x+2y=10$ and $y=2x+3$ .

Calculation:

Consider the first equation is written as,

  $\begin{array}{l}x+2y=10\\ y=\frac{-1}{2}x+5\end{array}$

The general form for the equation of the line is,

  $y=mx+b$

Then the slope of first equation is $\frac{-1}{2}$ and second equation is $2$ .

Multiply both the slope as,

  $-\frac{2\left(1\right)}{2}=-1$

As the slope is negative then the lines are perpendicular to each other.