Chapter 2
Introduction to Linear Polynomials
CBSE Class 9
Mathematics Solutions
Educart Mathematics class Class 9 NCERT Exemplar cover
Question:

Does this help you to conclude anything about the linear equation y=ax+by = ax + b when aa is fixed but bb varies (Refer to Fig 2.13 in NCERT page no. 34)?                                                                                                                  [Page No. 35]

Answer: Verified

All three lines have the same slope (2), so they are parallel to each other equally steep, never meeting.

Changing bb simply slides the line up or down without tilting it.
Each line cuts the yy-axis at (0,b)(0, b): y=2x1y = 2x - 1 at (0,1)(0, -1), y=2x+1y = 2x + 1 at (0,1)(0, 1), and y=2x+5y = 2x + 5 at (0,5)(0, 5).

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