Answer:
Option D
Step-by-step explanation:
Rate of change of a linear function between two points and
is given by,
Rate of change 'm' =
From the given table,
Rate of change of the function between (-2, 6) and (-4, 9),
Rate of change 'm' =
m =
Initial value = y-intercept
Let the equation of the line passing through a point (h, k) is,
y - k = m(x - h)
If a point (-2, 6) is lying on the graph of the function,
y - 6 =
y =
y =
Y-intercept of the function = 3
Therefore, initial value of the function = 3
Option D is the answer.