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A line passes through the origin and the point (3, 9).
A student claims the point (5, 15) also lies on the same line.
Is the claim correct?

Class 9Graph of a Linear EquationLinear Equations

AYes, because the line is $y = 3 x$
BNo, the line is $y = 9 x$
CNo, the line does not pass through (5,15)
DCannot be decided without a graph

Step-by-Step Solution

Through the origin:

y = m x

. Using (3,9):

9 = 3 m, m = 3

, so

y = 3 x

. At

x = 5, y = 15

, so (5,15) lies on it.

Answer: A) Yes, because the line is

y = 3 x

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