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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 4: Q. 231 (page 492)

Find the slope of the line shown.

Short Answer

Expert verified

The slope of the line is $\frac{- 1}{3}$ .

Step by step solution

01

Step 1. Given information .

Consider the given graph .

02

Step 2. Formula used .

The formula used to find the slope is $m = \frac{r i s e}{r u n}$ . where rise measures the vertical change and the run measures the horizontal change between two points on the line .

03

Step 3. Finding the slope .

To find the slope locate two points on the graph whose coordinates are integers $(0, 2)$ and $(6, 2)$ .Starting from $(0, 2)$ sketch a right triangle to $(6, 2)$

Here count the rise and run .

localid="1647518373360" $r i s e = - 2$ and $r u n = 6$

Further simplify .

Substitute the values in the slope formula .

localid="1647518361385" $m = \frac{r i s e}{r u n} m = \frac{- 2}{6} = \frac{- 1}{3}$

Therefore the slope islocalid="1647518386790" $\frac{- 1}{3}$ .

$r i s e = 2$

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