Question

The table represents a linear function. What is the slope of the function? x -2, -1, 0, 1, 2 ... y -2, 1, 4, 7, 10

Answer 1

The function passes through points (-2,-2) and (0,4).

The general formula for the slope of the linear function is,

$m=\frac{y_2-y_1}{x_2-x_1}$

Determine the slope of linear function.

$\begin{gathered} m=\frac{4-(-2)}{0-(-2)} \\ =\frac{6}{2} \\ =3 \end{gathered}$

Thus slope of linear function is 3.