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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. 236 (page 493)

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 $(- 1, 1)$ and $(2, 3)$ . Starting from $(- 1, 1)$ sketch a right angle triangle to $(2, 3)$ .

Here count the rise and run .

$r i s e = 2$ and $r u n = 3$

Substitute the value in the slope formula .

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

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

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