Chapter 8, Problem 6STP

To determine

To find: the slope of line

Answer to Problem 6STP

The correct option that gives slope of line is J

Explanation of Solution

Given:

Consider two points: $\left(-4,6\right)$ and $\left(3,-5\right)$

F $\frac{11}{7}$

H $-\frac{7}{11}$

G $\frac{7}{11}$

J $-\frac{11}{7}$

Formula used:

Slope of the line is calculated by

  $m=\frac{y_2-y_1}{x_2-x_1}$

Calculation:

Consider that $\left(x_1,y_1\right)=\left(-4,6\right)$ and $\left(x_2,y_2\right)=\left(3,-5\right)$

Put the value in slope formula:

  $\begin{array}{l}m=\frac{-5-6}{3-\left(-4\right)}\\ =\frac{-11}{3+4}\\ =-\frac{11}{7}\end{array}$

Conclusion:

Therefore, the correct option that gives slope of line is J