what is the constant of variation, k, of the line y = kx through (3,18) and (5,30)?\n$\frac{3}{5}$\n$\frac{5}…

what is the constant of variation, k, of the line y = kx through (3,18) and (5,30)?\n$\frac{3}{5}$\n$\frac{5}{3}$\n3\n6

what is the constant of variation, k, of the line y = kx through (3,18) and (5,30)?\n$\frac{3}{5}$\n$\frac{5}{3}$\n3\n6

Answer

Answer:

D. 6

Explanation:

Step1: Substitute the point into the equation

Since the line (y = kx) passes through the point ((3,18)), substitute (x = 3) and (y=18) into (y = kx). We get (18=k\times3).

Step2: Solve for (k)

From (18 = 3k), divide both sides by 3. So (k=\frac{18}{3}=6). We can also check with the other point ((5,30)). Substitute (x = 5) and (y = 30) into (y=kx), we have (30=k\times5), then (k=\frac{30}{5}=6).