Chapter 8.6, Problem 4CYU

To determine

To find: the slope of the line

Answer to Problem 4CYU

The slope of line is $-\frac{1}{2}$

Explanation of Solution

Given:

Consider two points $N\left(1,2\right)$ and $P\left(5,0\right)$

Calculation:

Slope of the line ( m ) passing through two points is ratio of the difference in y -coordinates to the corresponding difference in x -coordinates.

So, if two points $\left(x_1,y_1\right)$ and $\left(x_2,y_2\right)$ then slope is:

  $m=\frac{y_2-y_1}{x_2-x_1}$

Consider that $\left(x_1,y_1\right)=\left(1,2\right)$ and $\left(x_2,y_2\right)=\left(5,0\right)$

Put the value in slope formula:

  $\begin{array}{c}m=\frac{0-2}{5-1}\\ =\frac{-2}{4}\\ =-\frac{1}{2}\end{array}$

Conclusion:

Therefore, the slope of line is $-\frac{1}{2}$