Answer:
yes, it is linear.
Step-by-step explanation:
If the function is linear, the rate of increase between two pairs must always be equal.
This can be calculated as:
s = (y2 - y1)/(x2 - x1)
Where if we have a linear relationship y(x); we would have:
y2 = y(x2)
y1 = y(x1)
In the graph we can see the pairs:
(0, 46)
(1, 39)
(2, 32)
(3, 25)
Then the slopes are:
for the first two points.
s = (39 - 46)/(1 - 0) = -7
for second and third:
s = (32 - 39)/(2 - 1) = -7
for third and fourth:
s = (25 - 32)/(3 - 2) = -7
So this relationship is linear, because we always have the same slope.
