Answer: The correct option is (C) 5.
Step-by-step explanation: We are given to find the slope of the function in the table below :
X -4 -2 0 2 4
Y -16 -6 4 14 24
We know that
the slope of a linear function (a straight line) passing through the points (a, b) and (c, d) is given by
\(m=\dfrac{d-b}{c-a}.\)
From the table, we note that
the points (-2, -6) and (0, 4) satisfy the given linear function.
So, the slope of the function will be
\(m=\dfrac{4-(-6)}{0-(-2)}=\dfrac{4+6}{0+2}=\dfrac{10}{2}=5.\)
Thus, the slope of the given function is 5.
Option (C) is CORRECT.
