Q 7. - Precalculus Enhanced with Graphing Utilities

Question

Use $P_1=\left(-1,3\right)$ and $P_2=\left(5,-1\right)$.

(a) Find the slope of the line containing $P_{1 }$and $P_2$.

(b) Interpret this slope.

Step-by-Step Solution

Answer

(a)The slope of the line containing $P_1$and $P_2$ is $0$.

(b) Interpretation of slope is shown below.

Step 1. Given information.

Consider the given points $P_1$and $P_2$.

Step 2. (a) Formula used.

The formula used to find slope is $m=\frac{y_2-y_1}{x_2-x_1}$.

Substitute the value of $x_1 ,x_2$and $y_1 ,y_2$.

$$\begin{gathered} m=\left(\frac{-1+1}{5+1}\right) \\ m=0 \end{gathered}$$

Step 3. (b) Plot the graph.

The graph for the slope $m=0$ shown below.