Chapter 8, Problem 28SGR

To determine

To find: The slope of the line

Answer to Problem 28SGR

The slope of the line is $\frac{11}{12}$

Explanation of Solution

Given:

  $R\left(-8,-2\right),S\left(4,9\right)$

Formula used:

Slope of line is calculated by

  $m=\frac{y_2-y_1}{x_2-x_1}$

Calculation:

Consider two points: $R\left(-8,-2\right)$ and $S\left(4,9\right)$

Consider that $\left(x_1,y_1\right)=\left(-8,-2\right)$ and $\left(x_2,y_2\right)=\left(4,9\right)$

Put the value in slope formula:

  $\begin{array}{l}m=\frac{9-\left(-2\right)}{4-\left(-8\right)}\\ =\frac{9+2}{4+8}\\ =\frac{11}{12}\end{array}$

Therefore, the slope of the line is $\frac{11}{12}$

Conclusion:

Therefore, the slope of the line is $\frac{11}{12}$