Question

Is the relationship shown by the data linear? If it is, model the data with an equation.
X Y -10 -3 -4 0 -1 2 3 4 A: The relationship is linear. y – 4 = 1 over 2(x – 3)
B: The relationship is linear. y = 2 over 2(x + 4)
C: The relationship is linear. y – 10 = 1 over 2(x – 3)
D: The relationship is not linear.

Answer 1

are you saying
x .... y
-10 , -1
-3 , 2
-4 , 3
0 , 4
slope from first to second = change in y / change in x = (2+1) / (-3 + 10)
= 3/7
second to third = (3 -2) / (-4 +3) = 1/-1 = -1
the slope changes, the function is not linear