Given the table:
X -3 , 0 , 3 , 6
Y 3, 7, 11, 15
We can write the ordered pairs of the function:
(-3, 3), (0, 7), (3, 11), (6, 15)
Any pair of ordered pairs can be used to calculate the slope, assuming they all belong to the line.
Let's pick the points (-3, 3) and (0, 7). The formula to calculate the slope is:
[tex]\begin{equation*} m=\frac{y_2-y_1}{x_2-x_1} \end{equation*}[/tex]Substituting:
[tex]m=\frac{7-3}{0+3}=\frac{4}{3}[/tex]It can be verified that the slope is 4/3 regardless of the points selected to calculate it.
Answer: 4/3
