Answer: The constant of variation, [tex]k=\frac{-3}{2}[/tex] 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
[tex]2=k(-3)\\\\\Rightarrow\ k=\frac{2}{-3}=\frac{-3}{2}[/tex]
Therefore, the constant of variation, [tex]k=\frac{-3}{2}[/tex] of the direct variation, y = kx, through (–3, 2).
