Graph the line with slope -10 passing through the point (3,-1). S

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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graph the line

**Graphing a Line Through a Given Point with a Given Slope**

**Objective:** Graph the line with slope \(-\frac{2}{3}\) passing through the point \((3, -1)\).

---

**Instructions:**

1. **Identify the Point and Slope:**
   - **Point:** \((3, -1)\)
   - **Slope:** \(-\frac{2}{3}\)

2. **Understanding the Slope:**
   - The slope \(-\frac{2}{3}\) means that for every 3 units moved horizontally to the right, the line moves 2 units down. 

3. **Plotting the Point:**
   - On the graph, locate and mark the point \((3, -1)\).

4. **Using the Slope:**
   - From the point \((3, -1)\), move 3 units to the right and 2 units down to find the next point on the line.
   
5. **Drawing the Line:**
   - Connect these points with a straight edge to draw the line. Extend the line in both directions.

---

**Graph Explanation:**

- The graph is a coordinate plane with x and y axes.
- The x-axis and y-axis both range from -10 to 10.
- The tools available (illustrated with icons) are used for drawing, erasing, and resetting.
- Use these tools to plot and draw lines accurately.

**Controls:**

- **Explanation Button:** Provides theoretical background and examples.
- **Check Button:** Validates your solution.

---

© 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility
Transcribed Image Text:**Graphing a Line Through a Given Point with a Given Slope** **Objective:** Graph the line with slope \(-\frac{2}{3}\) passing through the point \((3, -1)\). --- **Instructions:** 1. **Identify the Point and Slope:** - **Point:** \((3, -1)\) - **Slope:** \(-\frac{2}{3}\) 2. **Understanding the Slope:** - The slope \(-\frac{2}{3}\) means that for every 3 units moved horizontally to the right, the line moves 2 units down. 3. **Plotting the Point:** - On the graph, locate and mark the point \((3, -1)\). 4. **Using the Slope:** - From the point \((3, -1)\), move 3 units to the right and 2 units down to find the next point on the line. 5. **Drawing the Line:** - Connect these points with a straight edge to draw the line. Extend the line in both directions. --- **Graph Explanation:** - The graph is a coordinate plane with x and y axes. - The x-axis and y-axis both range from -10 to 10. - The tools available (illustrated with icons) are used for drawing, erasing, and resetting. - Use these tools to plot and draw lines accurately. **Controls:** - **Explanation Button:** Provides theoretical background and examples. - **Check Button:** Validates your solution. --- © 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility
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