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On the Same Graph Paper, Plot the Graphs of Y = 2x - 1, Y = 2x and Y = 2x + 1 from X = -2 to X = 4. Are the Graphs (Lines) Drawn Parallel to Each Other? - Mathematics

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Question

On the same graph paper, plot the graphs of y = 2x - 1, y = 2x and y = 2x + 1 from x = - 2 to x = 4. Are the graphs (lines) drawn parallel to each other?

Graph

Solution

First, prepare a table as follows:

X -1 0 1
Y = 2x - 1 -3 -1 1
Y = 2x -2 0 2
Y = 2x + 1 -1 1 3

Now the graph can be drawn as follows:


The lines are parallel to each other.

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Graphs of Linear Equations
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Chapter 26: Co-ordinate Geometry - Exercise 26 (B) [Page 320]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 26 Co-ordinate Geometry
Exercise 26 (B) | Q 8 | Page 320
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