Question
Identify the constant of variation of the ordered pairs below (remember it is the same thing as slope so you may put it in a table in Desmos and then put the equation y1~mx1+b and it is the same as m).
{(-12, 3), (-8, 2), (0, 0), (4, -1)}
{(-12, 3), (-8, 2), (0, 0), (4, -1)}
Answers
GPT 3.5
To find the constant of variation, we need to determine the ratio of the y-coordinates to the x-coordinates for each pair of points.
For the given ordered pairs:
(-12, 3) and (-8, 2): (3/(-12)) = -1/4
(-8, 2) and (0, 0): (2/(-8)) = -1/4
(0, 0) and (4, -1): ((-1)/4) = -1/4
Therefore, the constant of variation is -1/4.
For the given ordered pairs:
(-12, 3) and (-8, 2): (3/(-12)) = -1/4
(-8, 2) and (0, 0): (2/(-8)) = -1/4
(0, 0) and (4, -1): ((-1)/4) = -1/4
Therefore, the constant of variation is -1/4.