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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. 229 (page 492)

Find the slope of each line shown in the graph .

Short Answer

Expert verified

The slope of the line is $\frac{4}{3}$ .

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 $(1, 4)$ and $(4, 4)$ . Starting from $(1, 4)$ sketch a right triangle to $(4, 4)$ .

Here count the rise and run .

$r i s e = 4$ and $r u n = 3$ .

Further simplify .

Substitute the values in slope formula .

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

Therefore the slope is $\frac{4}{3}$ .

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Most popular questions from this chapter

In the following exercises, which ordered pairs are solutions to the given equations :

$y = \frac{1}{2} x - 1$

(a) $(2, 0)$ (b) $(- 6, - 4)$ (c) $(- 4, - 1)$

Complete the table to find three solutions to this equation:

Find the intercepts for $2 x + 3 y = 6$

Find the equation of the line shown in the graph. Write the equation in slope–intercept form.

Find the intercepts for $4 x - y = 8$

See all solutions

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