Question

What is the correct value of m for which the following table shows a linear relationship between y and x described by the equation y=mx?

Answer 1

Given:
The table shows a linear relationship between y and x described by the equation $y=mx$.
Hence, x and y are proportional and $m=\frac{y}{x}$ should be constant at every point.
For the point $(2,10),m=\frac{10}{2}=5$
For the point $(3,13),m=\frac{13}{3}$
As m is not constant for the points (2, 10) and (3, 13), there is no value of m for which the equation y=mx will have the above table.
$\Rightarrow$ No possible value of m.
$\to$ Option D is correct.