Q. 2 - Precalculus Enhanced with Graphing Utilities

Question

The slope of the line containing the points (-2, 3) and (3, 8) is ________.

Step-by-Step Solution

Answer

The slope of the line containing the points (-2, 3) and (3, 8) is  1

Step 1: Given Information

Two given points are  (-2, 3) and (3, 8) 

Step 2: Slope

Let P = (x1 , y1) and Q = (x2 , y2) be two distinct points. Slope of a line PQ is defined by a formula 

$$\begin{gathered} m = \frac{y_2-y_1}{x_2-x_1} \\ Two points are (-2,3) and (3,8) \\ Slope m=\frac{8-3}{3-(-2)}=\frac{5}{5}=1 \end{gathered}$$

The slope of the line containing the points (-2, 3) and (3, 8) is  1