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

Sagot :

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