Q14. Which is the slope of the linear... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 3: Q14. (page 205)

Which is the slope of the linear function shown in the graph?
A $鈭� \frac{5}{2}$
B $鈭� \frac{2}{5}$
C $\frac{5}{2}$
D $\frac{2}{5}$

Short Answer

Expert verified

The slope of the linear function shown in the graph is $鈭� \frac{2}{5}$ . Therefore the option B is correct.

Step by step solution

Step 1. Write the formula to find the slope of the line that passes through two points.

The slope of the line (m) that passes through the two points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ is:

$m = \frac{y_{2} 鈭� y_{1}}{x_{2} 鈭� x_{1}}$

Step 2. Find the slope of the linear function shown in the graph.

From the given graph, it can be noticed that the graph of the linear function is a line passing through the points $(3, 1)$ and width="47" height="20" role="math">鈭�2,3.

The slope of the line (m) that passes through the points $(x_{1}, y_{1}) = (3, 1)$ and $(x_{2}, y_{2}) = (鈭� 2, 3)$ is:

$m = \frac{y_{2} 鈭� y_{1}}{x_{2} 鈭� x_{1}} = \frac{3 鈭� 1}{鈭� 2 鈭� 3} = \frac{2}{鈭� 5} = 鈭� \frac{2}{5}$

The slope of the linear function shown in the graph is $鈭� \frac{2}{5}$ . Therefore, the option B is correct.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Which is the slope of the linear function shown in the graph?
A $鈭� \frac{5}{2}$
B $鈭� \frac{2}{5}$
C $\frac{5}{2}$
D $\frac{2}{5}$

Short Answer

Step by step solution

Step 1. Write the formula to find the slope of the line that passes through two points.

Step 2. Find the slope of the linear function shown in the graph.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Applied Mathematics

Pure Maths

Probability and Statistics

Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

91影视

Which is the slope of the linear function shown in the graph?A鈭�52B鈭�25C52D25

Short Answer

Step by step solution

Step 1. Write the formula to find the slope of the line that passes through two points.

Step 2. Find the slope of the linear function shown in the graph.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Applied Mathematics

Pure Maths

Probability and Statistics

Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Which is the slope of the linear function shown in the graph?
A $鈭� \frac{5}{2}$
B $鈭� \frac{2}{5}$
C $\frac{5}{2}$
D $\frac{2}{5}$