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For Each Pair of Linear Equations Given Below, Draw Graphs and Then State, Whether the Lines Drawn Are Parallel Or Perpendicular to Each Other. Y = X - 3 Y = -x + 5 - Mathematics

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Question

For the pair of linear equations given below, draw graphs and then state, whether the lines drawn are parallel or perpendicular to each other.
y = x - 3
y = - x + 5

Graph

Solution

To draw the graph of y = x - 3 and y = - x + 5 follows the steps:

First, prepare a table as below:

X - 1 0 1
Y = x - 3 - 4 -3 - 2
Y = - x + 5 6 5 4

Now sketch the graph as shown:

From the graph it can verify that the lines are perpendicular.

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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 6.2 | Page 320
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