0.6- 0.4 0.2+ 0.6-0.4-0.2 0.2 0.4 0.6 -0.2+

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Determine the intercepts of the graph
This image shows a graph of a linear equation displayed on a coordinate plane. 

### Graph Details:
The graph is a line that slopes downward from left to right, indicating a negative slope. 

**Axes:**
- The x-axis (horizontal) and y-axis (vertical) intersect at the origin (0,0).

**Scales:**
- Both the x-axis and y-axis are labeled with increments of 0.2, ranging from -1 to 1.

### Line Characteristics:
- The line crosses the y-axis at approximately y = 0.8, which is the y-intercept. 
- The line crosses the x-axis at approximately x = 0.8, which is the x-intercept.

### Interpretation:
This graph visually represents the relationship defined by a linear equation. The precise equation of the line is not given, but it can be inferred that the general form of the linear equation is y = mx + b, where 'm' would be the slope and 'b' would be the y-intercept of the line. Given that the line crosses the axes at positive intercepts and has a negative slope, it can be inferred that the slope 'm' is negative.

This diagram is often used in algebra to illustrate how linear equations can be plotted and used to find intercepts and understand the slope of the line.
Transcribed Image Text:This image shows a graph of a linear equation displayed on a coordinate plane. ### Graph Details: The graph is a line that slopes downward from left to right, indicating a negative slope. **Axes:** - The x-axis (horizontal) and y-axis (vertical) intersect at the origin (0,0). **Scales:** - Both the x-axis and y-axis are labeled with increments of 0.2, ranging from -1 to 1. ### Line Characteristics: - The line crosses the y-axis at approximately y = 0.8, which is the y-intercept. - The line crosses the x-axis at approximately x = 0.8, which is the x-intercept. ### Interpretation: This graph visually represents the relationship defined by a linear equation. The precise equation of the line is not given, but it can be inferred that the general form of the linear equation is y = mx + b, where 'm' would be the slope and 'b' would be the y-intercept of the line. Given that the line crosses the axes at positive intercepts and has a negative slope, it can be inferred that the slope 'm' is negative. This diagram is often used in algebra to illustrate how linear equations can be plotted and used to find intercepts and understand the slope of the line.
**Calculate the Intercepts of the Line**

To determine the intercepts of the line, follow the instructions and observe the provided graph carefully.

### y-intercept:
Identify where the line intersects the y-axis. Input the values into the spaces provided.

Notation: \(\left( \boxed{ \ }, \boxed{ \ } \right)\)

### x-intercept:
Find where the line intersects the x-axis. Place the corresponding values into the designated spaces.

Notation: \(\left( \boxed{ \ }, \boxed{ \ } \right)\)

### Explanation of the Graph

- **Axes**: The graph has a horizontal axis (x-axis) and a vertical axis (y-axis), both labeled. 
- **Line**: A blue line is plotted, which crosses the y-axis and eventually intersects the x-axis.
- **Grid**: The background consists of a grid, aiding in precise reading of the intercept points.
- **Scale**: The y-axis includes values ranging from 0 to 0.8, marked in increments of 0.2.

Use this visual representation to assist in determining and inserting the correct intercept points on the graph provided.
Transcribed Image Text:**Calculate the Intercepts of the Line** To determine the intercepts of the line, follow the instructions and observe the provided graph carefully. ### y-intercept: Identify where the line intersects the y-axis. Input the values into the spaces provided. Notation: \(\left( \boxed{ \ }, \boxed{ \ } \right)\) ### x-intercept: Find where the line intersects the x-axis. Place the corresponding values into the designated spaces. Notation: \(\left( \boxed{ \ }, \boxed{ \ } \right)\) ### Explanation of the Graph - **Axes**: The graph has a horizontal axis (x-axis) and a vertical axis (y-axis), both labeled. - **Line**: A blue line is plotted, which crosses the y-axis and eventually intersects the x-axis. - **Grid**: The background consists of a grid, aiding in precise reading of the intercept points. - **Scale**: The y-axis includes values ranging from 0 to 0.8, marked in increments of 0.2. Use this visual representation to assist in determining and inserting the correct intercept points on the graph provided.
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