K Find the slope and y-intercept of the line whose graph is own Slope= (Simplify your answer. Type an integer or a fraction.) y-intercept = (Type an ordered pair.) The equation of the line is (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)

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,...
Question
### Test 1 Review

#### Question 19 of 20

**Question Prompt:**
Find the slope and y-intercept of the line whose graph is shown to the right. Then use these to write an equation of the line.

1. **Slope =** [____]
   - *Simplify your answer. Type an integer or a fraction.*

2. **y-intercept =** [____]
   - *Type an ordered pair.*

3. **The equation of the line is** [____]
   - *Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.*

**Explanation and Instructions:**

To complete this exercise, follow these steps:

1. Identify the slope of the line from the graph.
2. Determine the y-intercept of the line at the point where it crosses the y-axis.
3. Use the slope and y-intercept to write the equation of the line in the slope-intercept form: \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

**Note:** The graph referenced in the question is not provided in this text. Please refer to the graphical representation in your test interface to extract the necessary values. 

### Question List
- [ ] Question 10
- [ ] Question 11
- [ ] Question 12
- [ ] Question 13
- [ ] Question 14
- [ ] Question 15
- [ ] Question 16
- [ ] Question 17
- [ ] Question 18
- [x] Question 19
- [ ] Question 20
Transcribed Image Text:### Test 1 Review #### Question 19 of 20 **Question Prompt:** Find the slope and y-intercept of the line whose graph is shown to the right. Then use these to write an equation of the line. 1. **Slope =** [____] - *Simplify your answer. Type an integer or a fraction.* 2. **y-intercept =** [____] - *Type an ordered pair.* 3. **The equation of the line is** [____] - *Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.* **Explanation and Instructions:** To complete this exercise, follow these steps: 1. Identify the slope of the line from the graph. 2. Determine the y-intercept of the line at the point where it crosses the y-axis. 3. Use the slope and y-intercept to write the equation of the line in the slope-intercept form: \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. **Note:** The graph referenced in the question is not provided in this text. Please refer to the graphical representation in your test interface to extract the necessary values. ### Question List - [ ] Question 10 - [ ] Question 11 - [ ] Question 12 - [ ] Question 13 - [ ] Question 14 - [ ] Question 15 - [ ] Question 16 - [ ] Question 17 - [ ] Question 18 - [x] Question 19 - [ ] Question 20
### Test 1 Review

**Graph:**

In the provided graph, we observe a Cartesian coordinate system with both the x-axis and y-axis labeled. The graph spans from -12 to 12 on both axes.

- **Axes Orientation:**
  - The x-axis runs horizontally and is marked from -12 to 12.
  - The y-axis runs vertically and is also marked from -12 to 12.

**Graph Diagrams and Key Elements:**

1. **Graph Title**: There is no explicit title provided for the graph.
   
2. **Straight Line:**
   - A blue arrow indicates a straight line running across the coordinate system.
   - The line moves in a negative slope, indicating it slopes downwards from left to right.
   
3. **Points on the Line:**
   - Specific points are marked by blue dots, located at coordinates (-6,6) and (6,-6).

4. **Line Details:**
   - The line intersects the y-axis at point (0,12) and the x-axis at point (12,0), consistent with the negative slope (descending).

**Associated Information:**
- **Header:** 
  - "This test: 20 point(s) possible"
  - "This question: 1 point(s) possible"
  
- **User Information:**
  - Name: Juan Torres
  - Date: 06/01/23

- **Navigation:**
  - There is a "Resume later" button available for the test.

This diagram is an excellent illustration of how linear equations can be represented on a graph, providing a visual depiction of the relationship between x and y coordinates.
Transcribed Image Text:### Test 1 Review **Graph:** In the provided graph, we observe a Cartesian coordinate system with both the x-axis and y-axis labeled. The graph spans from -12 to 12 on both axes. - **Axes Orientation:** - The x-axis runs horizontally and is marked from -12 to 12. - The y-axis runs vertically and is also marked from -12 to 12. **Graph Diagrams and Key Elements:** 1. **Graph Title**: There is no explicit title provided for the graph. 2. **Straight Line:** - A blue arrow indicates a straight line running across the coordinate system. - The line moves in a negative slope, indicating it slopes downwards from left to right. 3. **Points on the Line:** - Specific points are marked by blue dots, located at coordinates (-6,6) and (6,-6). 4. **Line Details:** - The line intersects the y-axis at point (0,12) and the x-axis at point (12,0), consistent with the negative slope (descending). **Associated Information:** - **Header:** - "This test: 20 point(s) possible" - "This question: 1 point(s) possible" - **User Information:** - Name: Juan Torres - Date: 06/01/23 - **Navigation:** - There is a "Resume later" button available for the test. This diagram is an excellent illustration of how linear equations can be represented on a graph, providing a visual depiction of the relationship between x and y coordinates.
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