Determine the constant of variation for the direct variation given (0.0), (3, 12). (9. 36) 3 4 12

The const. of variation / proportionality is thus 4.

Step-by-step explanation:

Direct variation is modeled by y = kx, where k is the constant of proportionality.  The associated line passes thru the origin, and so the y-intercept, b, is zero.

If we go from (3, 12) to (9, 36), x increases by 6 and y increases by 24.  Thus, the slope, same as the constant of proportionality in this case, is

k = rise / run = 24 / 6, or 4.  The const. of variation / proportionality is thus 4.

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step-by-step explanation:

step-by-step explanation:

in which figure is point g a centroid