Chapter 3: Q3. (page 208)

What is the slope of the linear function graphed below?
A. $\frac{-1}{3}$
B. $\frac{1}{2}$
C. $\frac{2}{3}$
D. $\frac{3}{2}$

Short Answer

Expert verified

The slope of the linear function is Option C. $\frac{2}{3}$ .

Step by step solution

Step 1. State the concept of slope of the line joining two points.

The slope $(m)$ of the line joining two points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ is given as $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

Step 2. Find two points on the line.

From the graph, it can be seen that the line passes through the point $(3, 1)$ and the y-intercept $(0, - 1)$ .

Step 3. Calculate the slope (m).

Substitute the point $(3, 1)$ as $(x_{1}, y_{1})$ and point $(0, - 1)$ as $(x_{2}, y_{2})$ in the formula of slope to find the slope.

$Slope (m) = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{- 1 - 1}{0 - 3} = \frac{- 2}{- 3} = \frac{2}{3}$

Thus, the slope of the graphed linear function is $\frac{2}{3}$ .

Hence, option C 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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Number of Pounds	1	2	3	4
Total Cost ($)	1.25	2.50	3.75	5.00

What is the slope of the linear function graphed below?
A. $\frac{-1}{3}$
B. $\frac{1}{2}$
C. $\frac{2}{3}$
D. $\frac{3}{2}$

Short Answer

Step by step solution

Step 1. State the concept of slope of the line joining two points.

Step 2. Find two points on the line.

Step 3. Calculate the slope (m).

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Mechanics Maths

Calculus

Pure Maths

Theoretical and Mathematical Physics

Decision Maths

Study anywhere. Anytime. Across all devices.

What is the slope of the linear function graphed below?A.-13B.12C. 23D.32

Short Answer

Step by step solution

Step 1. State the concept of slope of the line joining two points.

Step 2. Find two points on the line.

Step 3. Calculate the slope (m).

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Mechanics Maths

Calculus

Pure Maths

Theoretical and Mathematical Physics

Decision Maths

Study anywhere. Anytime. Across all devices.

What is the slope of the linear function graphed below?
A. $\frac{-1}{3}$
B. $\frac{1}{2}$
C. $\frac{2}{3}$
D. $\frac{3}{2}$