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Show that the points A(1, 2), B(– 1, – 16) and C(0, – 7) lie on the graph of the linear equation y = 9x – 7. - Mathematics

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Question

Show that the points A(1, 2), B(– 1, – 16) and C(0, – 7) lie on the graph of the linear equation y = 9x – 7.

Graph

Solution

Firstly, to draw the graph of equation y = 9x – 7

When x = 2, then y = 9 × 2 – 7

= 18 – 7

= 11

When x = – 2, then y = 9 × – 2 – 7

= – 18 – 7

= – 25

x 2 – 2
y 11 – 25

Here, we find two points D(2, 11) and E(–2, – 25).

So, draw the graph by plotting the points and joining the line DE.

Now, we plot the given points A(1, 2), B(–1, –16) and C(0, –7) on the graph paper. We see that all the points lie on DE line.

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Chapter 4: Linear Equation In Two Variables - Exercise 4.4 [Page 41]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 4 Linear Equation In Two Variables
Exercise 4.4 | Q 1. | Page 41

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