Use the given graph to answer the question. O 1.5 O O O O -7-6-5-4-3-2-1₁- 1 2 3 4 5 6 29/09 O calen 2014 O vales Use the x-intercept and the y-intercept to calculate the slope of the given line. 6 5- es|e4 -1.5 1 •NW+ 4 3 2- 1- -2- -3 • to -4 -5 -6

Use the given graph to answer the question. O 1.5 O O O O -7-6-5-4-3-2-1₁- 1 2 3 4 5 6 29/09 O calen 2014 O vales Use the x-intercept and the y-intercept to calculate the slope of the given line. 6 5- es|e4 -1.5 1 •NW+ 4 3 2- 1- -2- -3 • to -4 -5 -6

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

I need an answer somebody else asked this same question but their answer was wrong.

The answer has to be on of the options below.

**Educational Content: Calculating the Slope from a Graph**

**Graph Description:**
The graph depicts a red straight line on a Cartesian plane. This line intercepts the x-axis at approximately (5, 0) and the y-axis at approximately (0, 6), suggesting that these are the x-intercept and y-intercept, respectively.

**Instructions:**
Use the x-intercept and the y-intercept to calculate the slope of the given line.

**Choices:**
- $-\frac{2}{3}$
- 1.5
- $-\frac{5}{4}$
- $6$
- $\frac{4}{9}$
- $-\frac{4}{6}$
- $\frac{6}{1}$
- $-\frac{5}{1}$
- $-1.5$
- $-1.0$

**Analysis:**
To find the slope (m) of the line, use the formula:
\[ m = \frac{\text{change in } y}{\text{change in } x} = \frac{y_2 - y_1}{x_2 - x_1} \]

With the intercepts:
- x-intercept: (5, 0)
- y-intercept: (0, 6)

Substitute into the formula:
\[ m = \frac{0 - 6}{5 - 0} = \frac{-6}{5} = -1.2 \]

Thus, the correct slope for the line is $-1.2$, which is not directly listed among the choices. Choose the closest negative slope option if available.

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