The differential equation representing the family of curves y = m(x –…

$y = m(x – d)$

Differentiating w.r.t.x, we get,

$\frac{dy}{dx}=m(x-d)⇒m$ as $m(1-0)=m$

$\frac{d^2y}{dx^2}=0$, this is required differential equation.

Option B is correct.