We know that, y = mx is the equation of a line passing through the origin.

Since, For, y = mx

If we put x = 0 then, y = m×0 = 0.

Therefore, we get (0, 0) which is origin.

So, y = mx represents a line passing through the origin, therefore, the reason is true.

Now, if we put x = 0 in the equation x + y = 5 then,

0 + y = 5

⇒ y = 5

Therefore, the point is (0,5) which is not origin.

So, x + y = 5 is not the equation of a line passing through the origin, therefore, the assertion is not true.

Hence, Assertion (A) is false and Reason (R) is true.