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=(-3)/(2)` of the direct variation, y = kx, through (–3, 2).

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=(2)/(-3)=(-3)/(2)`

Therefore, the constant of variation,
`k=(-3)/(2)` of the direct variation, y = kx, through (–3, 2).