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.
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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Concept explainers
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Question

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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