Chapter 5.1, Problem 12P

Find the slope of the line that passes through each pair of points.

$(-2,-3),(6,5)$

To determine

To Find: The slope of the line passing through points $\left(-2,-3\right)\&\left(6,5\right)$ .

Answer to Problem 12P

Slope of line is $m=1$ .

Explanation of Solution

Given information:

Line passing through $\left(-2,-3\right)\&\left(6,5\right)$

Concept and Formula Used:

Slope of line passing through two points is given by $m=\left(\frac{y_2-y_1}{x_2-x_1}\right)$ .

Calculation:

It is given that line passing through $\left(-2,-3\right)\&\left(6,5\right)$ .

Slope of line is given by

  $\begin{array}{l}m=\left(\frac{y_2-y_1}{x_2-x_1}\right)\\ \text{where }\left(x_1,y_1\right)=\left(-2,-3\right)\&\left(x_2,y_2\right)=\left(6,5\right)\\ m=\left(\frac{5-\left(-3\right)}{6-\left(-2\right)}\right)\\ m=\frac{5+3}{6+2}\\ m=\frac{8}{8}\\ m=1\end{array}$

Conclusion:

Slope of line is $m=1$ .