Chapter 3: Q14. (page 205)

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

Short Answer

Expert verified

The slope of the linear function shown in the graph is $- \frac{2}{5}$ . 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:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

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">−2,3.

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

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

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

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Which is the slope of the linear function shown in the graph?
A $- \frac{5}{2}$
B $- \frac{2}{5}$
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.

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Which is the slope of the linear function shown in the graph?A−52B−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

Logic and Functions

Applied Mathematics

Decision Maths

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Pure Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

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