Chapter 8.4, Problem 60PPS

To determine

To show: Slope of a line at 225 degrees from x axis is equal to tangent of 225 degrees.

Explanation of Solution

Given:

  

Calculation:

The figure can be drawn as:

  

The slope of any line is calculated by dividing the rise in the value of y by the change in the value of x. That is:

  $\begin{array}{l}Slope=\frac{y}{x}\\ Slope=\frac{P}{B}\\ Slope=\tan x\end{array}$

Where x is the angle of the line with x axis.