Question

name: ezekiel l
what do you call an alligator in a vest? determine each slope to find out!
e s
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: Analyze graph A

Let's take two points on line A, say $(0, 5)$ and $(2, - 3)$. Then $m_A=\frac{-3 - 5}{2-0}=\frac{-8}{2}=-4$.

Step3: Analyze graph E

Take two points on line E, say $(0,1)$ and $(5,0)$. Then $m_E=\frac{0 - 1}{5 - 0}=-\frac{1}{5}$.

Step4: Analyze graph I

Take two points on line I, say $(0,0)$ and $(2,4)$. Then $m_I=\frac{4 - 0}{2 - 0}=2$.

Step5: Analyze graph N

Take two points on line N, say $(0,-4)$ and $(2,-3)$. Then $m_N=\frac{-3+4}{2 - 0}=\frac{1}{2}$.

Step6: Analyze graph T

Take two points on line T, say $(0,3)$ and $(2,1)$. Then $m_T=\frac{1 - 3}{2 - 0}=\frac{-2}{2}=-1$.

Step7: Analyze graph R

Take two points on line R, say $(0,0)$ and $(10,30)$. Then $m_R=\frac{30 - 0}{10 - 0}=3$.

Step8: Analyze graph G

Take two points on line G, say $(0,4)$ and $(3,0)$. Then $m_G=\frac{0 - 4}{3 - 0}=-\frac{4}{3}$.

Step9: Analyze graph V

Take two points on line V, say $(0,10)$ and $(20,50)$. Then $m_V=\frac{50 - 10}{20 - 0}=\frac{40}{20}=2$.

We match the slopes with the letters above to get the answer to the riddle.

Answer:

The answer to the riddle "What do you call an alligator in a vest?" is "An investigator" (by matching the slopes of the lines to the letters and forming the word).