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Identify other points on the line y = 2x + 1 by completing the following table.

xy
13
2
5
715
9
12
20
Identify other points on the line y = 2x + 1 by completing the following table. Introduction to Linear Polynomials, Solutions for Class 9 NCERT Ganita Manjari Mathematics CBSE

Polynomials

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Answer

The equation of the line is y = 2x + 1.

Substituting each value of x in the equation:

For x = 1: y = 2(1) + 1 = 3

For x = 2: y = 2(2) + 1 = 5

For x = 5: y = 2(5) + 1 = 11

For x = 7: y = 2(7) + 1 = 15

For x = 9: y = 2(9) + 1 = 19

For x = 12: y = 2(12) + 1 = 25

For x = 20: y = 2(20) + 1 = 41

The completed table is:

xy
13
25
511
715
919
1225
2041

Hence, the points (1, 3), (2, 5), (5, 11), (7, 15), (9, 19), (12, 25) and (20, 41) all lie on the line y = 2x + 1.

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