the table below shows values for x and y. if y varies directly as x, what is the constant of variation?
x y
0 0
1 -9
2 -18
3 -27
-9
0
3
9

k = - 9

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use any ordered pair from the given table of values

Using x = 1, y = - 9, then

k = = = - 9

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)