Answer: The required slope is 2.
Step-by-step explanation: We are given to find the slope between the points where x = 3 and x = 7 from the following table :
x 3 4 7
y 1 6 9
We know that
the slope of a line between the points (a, b) and (c, d) is given by
[tex]m=\dfrac{d-b}{c-a}.[/tex]
At x = 3, y = 1 and at x = 7, y = 9.
Therefore, the slope between the points (3, 1) and (7, 9) is given by
[tex]m=\dfrac{9-1}{7-3}=\dfrac{8}{4}=2.[/tex]
Thus, the required slope is 2.
