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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graph the line

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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