We can use the given table of values to graph the data on a coordinate plane. Then we can find the slope of the line that connects the points.

One way to use a graph to find the slope of a line is to count the change in the $x - coordinates$ and the change in the $y - coordinates .$

We can see that as the graph travels from left to right, the

rise,

or change in

y,

is

8 .

Similarly, the

run,

or change in

x,

is

2 .

slope = \frac{rise}{run} \Leftrightarrow m = \frac{8}{2} = 4

We can confirm this answer by using the other ratio from the Slope Formula.

slope = \frac{y _{2} - y _{1}}{x _{2} - x _{1}}

We will use the given points to find for the slope.

slope = \frac{y _{2} - y _{1}}{x _{2} - x _{1}}

Substitute $(3, 12)$ & $(5, 20)$

slope = \frac{2 0 - 1 2}{5 - 3}

Subtract terms

slope = \frac{8}{2}

Calculate quotient

slope = 4

We obtained the same number as before. We can be sure the slope is

4 .

Now we can explain what the slope represents. A slope of

4

tells us that the number of small packs of fruit snacks increase by

4

for every

1

box.

Exercise