Question

What is the constant of variation, k, of the direct variation, y = kx, through (–3, 2)?

Answer 1

Answer: The constant of variation, $k=\frac{-3}{2}$ of the direct variation, y = kx, through (–3, 2).

Step-by-step explanation:

Given direct variation, y = kx

To find the constant of variation k through a point (-3,2), here x coordinate is -3 and y coordinate is 2

Putting the values of x and y, we get

$2=k(-3)\\\\\Rightarrow\ k=\frac{2}{-3}=\frac{-3}{2}$

Therefore, the constant of variation, $k=\frac{-3}{2}$ of the direct variation, y = kx, through (–3, 2).

Answer 2

Y=1.5 becuade if you do y=k/x you get that answer so I had just recently learned this and was good at it