Question

what do you call an alligator in a vest? determine each slope to find out! 2/3 1/3 4/5 2 1/3 3/2 -3 -1 2 -2 2/3 -1 -1/2 3

Explanation:

Step1: Recall slope - formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: For each graph

Identify two points on the line. For example, if we have points $(x_1,y_1)$ and $(x_2,y_2)$ on a line in one of the graphs:
Let's say $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(3,2)$ for a particular line. Then $m=\frac{2 - 0}{3 - 0}=\frac{2}{3}$.
We repeat this process for each line in the given graphs to find the slopes and then match them with the letters above to solve the riddle.
Since we don't have the specific coordinates of all points on each line from the image in a machine - readable format, we can't calculate all the slopes precisely here. But the general process is as described above.

Answer:

We need to calculate the slopes of each line in the graphs using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ for two points on each line, and then match the slopes with the letters to answer the riddle "What do you call an alligator in a vest?". Without specific point - coordinates for all graphs, we can't give the final word answer, but the slopes are calculated as shown in the steps.