Chapter 8.6, Problem 5CYU

To determine

To find: the slope of the line

Answer to Problem 5CYU

The slope of line is $\frac{5}{9}$

Explanation of Solution

Given:

Consider two points $F\left(-2,-4\right)$ and $G\left(7,1\right)$

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 $\left(x_1,y_1\right)=\left(-2,-4\right)$ and $\left(x_2,y_2\right)=\left(7,1\right)$

Put the value in slope formula:

  $\begin{array}{c}m=\frac{1-\left(-4\right)}{7-\left(-2\right)}\\ =\frac{1+4}{7+2}\\ =\frac{5}{9}\end{array}$

Conclusion:

Therefore, the slope of line is $\frac{5}{9}$