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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 4.5 (page 471)

What is the slope of the line on the geoboard shown?

Short Answer

Expert verified

The slope is $m = \frac{1}{4}$ .

Step by step solution

01

Step 1. Given Information.

What is the slope of the line on the geoboard shown?

02

Step 2. Slope of given line.

Use the definition of slope: $m = \frac{r i s e}{r u n}$ .

Start at the left peg and count the spaces up and to the right to reach the second peg.

03

Step 3. Rise and run.

The rise is 1.	$m = \frac{1}{r u n}$ .
The run is 4.	$m = \frac{1}{4}$ .
	The slope is $\frac{1}{4}$ .

This means that the line rises 1 units for every 4 units of run.

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Most popular questions from this chapter

Find an equation of a line with slope $\frac{2}{5}$ and y-intercept $(0, 4)$ .

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) $(- 4, - 1)$

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

In the following exercises, plot each point in a rectangular coordinate system.

7. ⓐ $(0, 0)$ ⓑ $(0, - 3)$ ⓒ $(- 4, 0)$ ⓓ $(1, 0)$ ⓔ $(0, - 2)$

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

$3 x + y = 5$

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