Which representation has a constant of variation of –2.5? A x –2 –3 –4 –5 y –5 –7.5 –10 –12.5 B 5 x + 2 y = 0 C y = negative 2.5 x + 1 D On a coordinate plane, a line goes through points (negative 1, 0) and (0, negative 2). A B C D
The correct answer is A.
To find the constant of variation, we use the formula:
constant of variation = (change in y) ÷ (change in x)
We can choose any two points on the line to find the change in y and change in x. Let's choose the points (0, -10) and (-2, -5):
change in y = -10 - (-5) = -5
change in x = 0 - (-2) = 2
constant of variation = -5 ÷ 2 = -2.5
Therefore, we see that the line represented by option A has a constant of variation of -2.5.