## 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: 14

#### Answer

slope = $-1$ The line that passes through the given points falls.

#### Work Step by Step

RECALL: (1) The slope $m$ of a line can be found using the formula $m=\dfrac{y_2-y_1}{x_2-x_1}$. (2) A line with a positive slope means the line rises from left to right. A negative slope means the line falls from left to right. (3) A zero slope means the line is horizontal. An undefined slope means the line is vertical. Solve for the slope using the formula in (1) to obtain: $m=\dfrac{-2-(-4)}{4-6}=\dfrac{-2+4}{-2} = \dfrac{2}{-2}=-1$ The slope is negative, so the line falls.

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