## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.2 Linear Functions and Their Graphs - Exercise Set 7.2 - Page 432: 74

#### Answer

The given statement makes sense.

#### Work Step by Step

RECALL: The slope $m$ of the line that passes through the points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula: $m=\dfrac{y_2-y_1}{x_2-x_1}$ Thus, to find the slope of the line that passes through the points $(-1, 5)$ and $(2, 3),$ the first point can be $(x_1, y_1)$ and the second point can be $(x_2, y_2)$. Therefore, in the given situation, the point $(-1, 5)$ can be considered as $(x_1, y_1)$ and the point $(2, -3)$ can be considered as $(x_2, y_2)$. The given statement makes sense.

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