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Graph the line with slope -3 passing through the point (-5,-3).

Graph the line with slope -3 passing through the point (-5,-3).

Algebra and Trigonometry (6th Edition)
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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Question
**Graph the Line with a Given Slope** **Objective:** Graph a line with a slope of -3 that passes through the point (-5, -3). **Instructions:** 1. **Identify the point and slope:** The line must pass through the point (-5, -3) with a slope of -3. 2. **Plot the given point on the graph:** - Find the x-coordinate of -5 and the y-coordinate of -3 on the graph, and mark this point. 3. **Use the slope to find another point:** - From the point (-5, -3), use the slope of -3 (which means a rise/run of -3/1). This indicates moving down 3 units and right 1 unit to find the next point. 4. **Draw the line:** - Connect the points with a straight edge to form the line. Extend the line in both directions, continuing the pattern established by the slope. **Graph Explanation:** The graph provided is a standard Cartesian coordinate plane with the x-axis ranging from -10 to 10 and the y-axis also ranging from -10 to 10. Each axis is marked with grid lines for precise plotting. **Tools:** In the image, there are also tools depicted, which seem to include options for drawing and editing features on the graph, such as pencil icons and an eraser. **Conclusion:** This exercise helps in understanding how to graph a line using a given point and slope by plotting points and drawing lines on a coordinate plane.
Transcribed Image Text:**Graph the Line with a Given Slope** **Objective:** Graph a line with a slope of -3 that passes through the point (-5, -3). **Instructions:** 1. **Identify the point and slope:** The line must pass through the point (-5, -3) with a slope of -3. 2. **Plot the given point on the graph:** - Find the x-coordinate of -5 and the y-coordinate of -3 on the graph, and mark this point. 3. **Use the slope to find another point:** - From the point (-5, -3), use the slope of -3 (which means a rise/run of -3/1). This indicates moving down 3 units and right 1 unit to find the next point. 4. **Draw the line:** - Connect the points with a straight edge to form the line. Extend the line in both directions, continuing the pattern established by the slope. **Graph Explanation:** The graph provided is a standard Cartesian coordinate plane with the x-axis ranging from -10 to 10 and the y-axis also ranging from -10 to 10. Each axis is marked with grid lines for precise plotting. **Tools:** In the image, there are also tools depicted, which seem to include options for drawing and editing features on the graph, such as pencil icons and an eraser. **Conclusion:** This exercise helps in understanding how to graph a line using a given point and slope by plotting points and drawing lines on a coordinate plane.
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