what is the constant of variation, k, of the line y = kx through (3,18) and (5,30)?\no $\frac{3}{5}$\no…
what is the constant of variation, k, of the line y = kx through (3,18) and (5,30)?\no $\frac{3}{5}$\no $\frac{5}{3}$\no 3\no 6
Answer
Explanation:
Step1: Substitute points into equation
Since the line is $y = kx$, for the point $(3,18)$, we have $18=k\times3$, which can be written as $3k = 18$. For the point $(5,30)$, we have $30=k\times5$, or $5k = 30$. We can use either equation. Let's use the first one.
Step2: Solve for $k$
From $3k = 18$, divide both sides by 3. So $k=\frac{18}{3}=6$.
Answer:
6