Question

The differential equation for the line $y = m x + c$ is (where c is arbitrary constant)

• A. $\frac { d y } { d x } = m$
• B. $\frac { d y } { d x } + m = 0$
• C. $\frac { d y } { d x } = 0$
• D. None of these

Answer 1

Answer: (A)

$\frac { d y } { d x } = m$

Answer 2

Differentiate it w.r.t. x, we get $\frac { d y } { d x } = m$ .