Chapter 5.1, Problem 30P

Writing Describe how to draw a line that passes through the origin and has a slope of $-\frac{2}{3}$.

To determine

To Describe: how to draw a line that passes through the origin and has a slope of $-\frac{2}{3}$ .

Answer to Problem 30P

  

Explanation of Solution

Given information:

The line that passes through the origin and has a slope of $-\frac{2}{3}$

Calculation:

The formula for the slope of line in angle format is:

  $\begin{array}{l}m=\tan \theta \\ \tan \theta =-\frac{2}{3}\\ \theta ={\tan }^{-1}\left(-\frac{2}{3}\right)\\ \theta =-33.7\end{array}$

Hence, draw a line passes through the origin and the angle is 33.7 degree anticlockwise (because angle is negative) from the positive x axis