Question

write an equation of the direct variation that includes the given point:
17. (2,2)
18. (-8,-4)
19. (3,-1)
20. (-5,3)

Answer 1

Okay, I'll do an example with given point (3,6)

\[y = kx\]that's the general form of direct variation, with \(k\) as the constant of variation.

Plug in your \(x\) and \(y\) and solve for \(k\):

\[6 = k(3)\]\[k=2\]so our equation would be \[y = 2x\]