Question

determine weather y varies directly with x. if so, find the constant variation and write the equation

Answer 1

Answer:

Yes, k = 1/3 and y = 1/3x

Step-by-step explanation:

$\text{The given line passes through the origin, hence it has equation of the form:}\\y=kx$

$\text{Therefore y varies directly as x.}The line passes through the point (3,1)}$

$\text{This implies that,}$

$1=k(3)\\k=\frac{1}{3}$$\text{Hence the constant of variation is}$ ⇒ $\frac{1}{3}$

The equation would be ⇒ $y=\frac{1}{3} x$