Question

If a varies directly with b and a = -2 when b =3 what is the constant of variation

Answer 1

A varies directly with b → a = kb where k is the constant of variation (i.e. slope)

-2 = k × 3 ← substitute values into the formula above

-2/3 = k ← result of dividing both sides by 3

Answer: k = $-\frac{2}{3}$