Question

What is the slope of the line described by the data in the table below/X -3 , 0 , 3 , 6Y 3, 7, 11, 15

Answer 1

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:

`\begin{equation*} m=(y_2-y_1)/(x_2-x_1) \end{equation*}`

Substituting:

`m=(7-3)/(0+3)=(4)/(3)`

It can be verified that the slope is 4/3 regardless of the points selected to calculate it.

Answer: 4/3