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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. 239 (page 494)

Find the slope of the line shown in the graph .

Short Answer

Expert verified

The slope of the line is $\frac{- 2}{3}$ .

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 the two points on the line .

03

Step 3. Finding the slope .

To find the slope of the line locate two points on the graph whose coordinates are $(1, 4)$ and $(7, 4)$ . Starting from $(1, 4)$ sketch a right triangle to $(7, 4)$ .

Here count the rise and run .

$r i s e = - 4$ and $r u n = 6$

Substitute the values in slope formula .

$m = \frac{r i s e}{r u n} m = \frac{- 4}{6} = \frac{- 2}{3}$

Therefore the slope is $\frac{- 2}{3}$ .

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