MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Title: Graphing a Line with a Given Slope and Point Content: To graph a line with a slope of -3 that passes through the point (-4, -3), follow these steps: 1. **Identify the Point**: Start by locating the point (-4, -3) on the graph. This is where your line will pass through. 2. **Understand the Slope**: The slope is -3, which means that for every 1 unit you move to the right along the x-axis, you will move 3 units down along the y-axis. 3. **Plot a Second Point Using the Slope**: From the point (-4, -3), move 1 unit to the right (to -3 on the x-axis) and 3 units down (to -6 on the y-axis). Mark this second point. 4. **Draw the Line**: Use a ruler to draw a line through these two points, extending it in both directions. Visual Explanation: The graph provided is a standard Cartesian coordinate system with x and y axes intersecting at origin (0,0). The grid allows accurate plotting of points and the slope. Tools Available: - **Eraser Icon**: To remove elements from the graph. - **Pencil Icon**: To draw points or lines. - **Line Tool**: To create straight lines between points. - **Other Icons**: Include an undo function and help for assistance. This exercise demonstrates how to graph a linear equation using a point-slope approach.
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Transcribed Image Text:Title: Graphing a Line with a Given Slope and Point Content: To graph a line with a slope of -3 that passes through the point (-4, -3), follow these steps: 1. **Identify the Point**: Start by locating the point (-4, -3) on the graph. This is where your line will pass through. 2. **Understand the Slope**: The slope is -3, which means that for every 1 unit you move to the right along the x-axis, you will move 3 units down along the y-axis. 3. **Plot a Second Point Using the Slope**: From the point (-4, -3), move 1 unit to the right (to -3 on the x-axis) and 3 units down (to -6 on the y-axis). Mark this second point. 4. **Draw the Line**: Use a ruler to draw a line through these two points, extending it in both directions. Visual Explanation: The graph provided is a standard Cartesian coordinate system with x and y axes intersecting at origin (0,0). The grid allows accurate plotting of points and the slope. Tools Available: - **Eraser Icon**: To remove elements from the graph. - **Pencil Icon**: To draw points or lines. - **Line Tool**: To create straight lines between points. - **Other Icons**: Include an undo function and help for assistance. This exercise demonstrates how to graph a linear equation using a point-slope approach.
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