The data is equally spaced in x so let's start by taking first differences.
4-9 = -5
-1-4 = -5
-6 - -1 = -5
-11 - -6 = -5
Hmmm. I detect a pattern. That tells us we have a line and the slope is -5.
We read off the y intercept from x=0 as -1.
So our equation in slope intercept form is
y = -5 x - 1
or as a function
ANSWER
B(0, 0),
EXPLANATION
The given points are A(−6, 2), B(0, 0), C(4, −2), D(−12, 6), E(−10, 10).
The equation of the direction variation is
The point that belongs the graph of the direct variation must satisfy the variation equation.
Note that the graph of direct variation equation passes through the origin therefore the point (0,0) satisfies it.
0=-12(0)
0=0
This is true
The other points do not satisfy this variation equation, hence they do not lie on its graph