Graph the line. 1 y= - 10- 8+ 6+ 4- 2+ -10 10

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
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**Study Guide Review: Graphing Linear Equations**

**Question 3 of 20 (1 point)**  
**Question Attempt: 1 of 1**

Graph the line:  
\[ y = -\frac{1}{5}x + 3 \]

**Graph Explanation:**

The graph provided is a coordinate plane with both x and y-axes ranging from -10 to 10. The task is to graph the linear equation \( y = -\frac{1}{5}x + 3 \).

- **Slope**: The slope of the line is \(-\frac{1}{5}\), indicating that for every increase of 5 units in \(x\), \(y\) decreases by 1 unit.
- **Y-intercept**: The y-intercept is 3, meaning the line crosses the y-axis at the point (0,3).

**Tools Available:**

- An eraser icon allows for corrections on the graph.
- A line tool is available for plotting the line.
- Other icons such as an x and a question mark may indicate options for clearing the graph and help, respectively.

**Note:** This setup guides the student through plotting the line based on the given linear equation.

**Action:**

Click "Continue" to proceed to the next question.
Transcribed Image Text:**Study Guide Review: Graphing Linear Equations** **Question 3 of 20 (1 point)** **Question Attempt: 1 of 1** Graph the line: \[ y = -\frac{1}{5}x + 3 \] **Graph Explanation:** The graph provided is a coordinate plane with both x and y-axes ranging from -10 to 10. The task is to graph the linear equation \( y = -\frac{1}{5}x + 3 \). - **Slope**: The slope of the line is \(-\frac{1}{5}\), indicating that for every increase of 5 units in \(x\), \(y\) decreases by 1 unit. - **Y-intercept**: The y-intercept is 3, meaning the line crosses the y-axis at the point (0,3). **Tools Available:** - An eraser icon allows for corrections on the graph. - A line tool is available for plotting the line. - Other icons such as an x and a question mark may indicate options for clearing the graph and help, respectively. **Note:** This setup guides the student through plotting the line based on the given linear equation. **Action:** Click "Continue" to proceed to the next question.
Expert Solution
Step 1

Consider the given equation of line,

y=-15x+3

 

To find the x-intercept, set y = 0.

-15x+3=0-15x=-3x=15

Therefore, the x-intercept of the graph is (15, 0).

 

To find the y-intercept, substitute x = 0 in y.

y=-150+3=3

Therefore, the y-intercept of the graph is (0, 3).

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