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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. 230 (page 492)

Find the slope of the line shown in the graph .

Short Answer

Expert verified

The slope of the line is $\frac{5}{3}$ .

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 line .

03

Step 3. Finding the slope .

To find the slope locate two points on the graph whose coordinates are integers $(1, 5)$ and $(4, 5)$ . Starting from $(1, 5)$ sketch a right triangle to $(4, 5)$ .

Here count the rise and run .

$r i s e = 5$ and $r u n = 3$

Further simplify .

Substitute the values in slope formula .

$m = \frac{r i s e}{r u n} m = \frac{5}{3}$

Therefore the slope is $\frac{5}{3}$ .

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Most popular questions from this chapter

In the following exercises, complete the table to find the solutions to each linear equation :

$y = 3 x - 1$

x	y	(x,y)
0
2
-1

In the following exercises, complete the table to find solutions to each linear equation.

$y = 2 x - 4$

x	y	(x,y)
0
2
-1

Find the equation of the line shown in the graph.

Plot each point: ⓐ (4, 0) ⓑ (−2, 0) ⓒ (0, 0) ⓓ (0, 2) ⓔ (0, −3) .

In the following exercises, complete the table to find solutions to each linear equation.

See all solutions

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