Sketch a graph showing the line for the equation Y=2X-1. On the same graph (in a different color), show the line for Y= -X+8.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Graphing Linear Equations**

**Task:**

1. Sketch a graph showing the line for the equation \( Y = 2X - 1 \).

2. On the same graph, using a different color, sketch the line for the equation \( Y = -X + 8 \).

**Instructions:**

- Identify the slope and y-intercept for each equation.
  - For \( Y = 2X - 1 \): 
    - Slope (m) = 2 
    - Y-intercept (b) = -1
  - For \( Y = -X + 8 \): 
    - Slope (m) = -1 
    - Y-intercept (b) = 8

- Start by plotting the y-intercept on the graph for both lines.
- Use the slope to find a second point for each line. The slope indicates the rise over the run.
- Draw the lines through the points for each equation using the respective colors for differentiation.

**Note:** Ensure that the lines extend far enough to clearly demonstrate their paths and intersections, if any.
Transcribed Image Text:**Graphing Linear Equations** **Task:** 1. Sketch a graph showing the line for the equation \( Y = 2X - 1 \). 2. On the same graph, using a different color, sketch the line for the equation \( Y = -X + 8 \). **Instructions:** - Identify the slope and y-intercept for each equation. - For \( Y = 2X - 1 \): - Slope (m) = 2 - Y-intercept (b) = -1 - For \( Y = -X + 8 \): - Slope (m) = -1 - Y-intercept (b) = 8 - Start by plotting the y-intercept on the graph for both lines. - Use the slope to find a second point for each line. The slope indicates the rise over the run. - Draw the lines through the points for each equation using the respective colors for differentiation. **Note:** Ensure that the lines extend far enough to clearly demonstrate their paths and intersections, if any.
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