Question

If the graph of the function $y=mx+c$ passes through origin, then 'c' must be zero.

• A. False.
• B. Sometimes true.
• C. Always true.
• D. Indeterminate.

Answer 1

Answer: (C)

Always true.

The line $y=mx+c$ passes through the origin.

i.e it passes through $(0,0)$.

Putting $(x,y)=(0,0)$ in the given equation,

$0=m\times 0+c⟹c=0.$

So the given assertion is true.

Ans- Option C.