Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![### Find the Slope
The graph displayed is a coordinate plane with a red line passing through it. The coordinate grid is labeled with integers along both the x-axis (horizontal) and y-axis (vertical), with markers at each integer from -10 to 10.
#### Diagram Explanation:
- **Axes**: The x-axis (horizontal) and y-axis (vertical) intersect at the origin (0,0).
- **Line**: A red line on the graph runs diagonally from the lower left to the upper right, crossing known points which isn't clearly visible, but judging the available grid points, looks like it might be crossing through (0, 0) and (5, 10).
This line represents a linear equation, and we are tasked with finding its slope.
#### Slope Options:
The possible choices for the slope of the line are:
- \(-2/4\)
- \(2\)
- \(-2/5\)
- \(-2\)
To calculate the slope (m) of the line, use the formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
From the apparent points the line crosses:
- \( (0, 0) \) and \( (5, 10) \), for instance:
\[ m = \frac{10 - 0}{5 - 0} = \frac{10}{5} = 2 \]
Therefore, the slope of the line is \(2\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9407ef63-c5a4-4785-bf02-266b1ae009f0%2F270d4740-af8c-4733-807c-c0465484a597%2Fp22g09v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Find the Slope
The graph displayed is a coordinate plane with a red line passing through it. The coordinate grid is labeled with integers along both the x-axis (horizontal) and y-axis (vertical), with markers at each integer from -10 to 10.
#### Diagram Explanation:
- **Axes**: The x-axis (horizontal) and y-axis (vertical) intersect at the origin (0,0).
- **Line**: A red line on the graph runs diagonally from the lower left to the upper right, crossing known points which isn't clearly visible, but judging the available grid points, looks like it might be crossing through (0, 0) and (5, 10).
This line represents a linear equation, and we are tasked with finding its slope.
#### Slope Options:
The possible choices for the slope of the line are:
- \(-2/4\)
- \(2\)
- \(-2/5\)
- \(-2\)
To calculate the slope (m) of the line, use the formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
From the apparent points the line crosses:
- \( (0, 0) \) and \( (5, 10) \), for instance:
\[ m = \frac{10 - 0}{5 - 0} = \frac{10}{5} = 2 \]
Therefore, the slope of the line is \(2\).
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