Question

can you find the slope and type the correct code? please remember to type in all * caps with no spaces.
puzzle #2
1: find the slope:

x	y
-1	-9
0	-3
1	3
2	9

2: find the slope: (-1, 5), (2, -7)
3: find the slope:
4: find the slope:

x	y
8	1
8	2
8	3
8	4

answer choices
a: m = undefined
b: m = 6
c: m = 1/4
d: m = -1/3
e: m = -6
f: m = 3
g: m = -4
h: m = 4
i: m = 0
type the 4 - letter code into the answer box. all caps, no spaces.
your answer

Explanation:

Step1: Calculate slope for first set

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Using points $(-1,-9)$ and $(0, - 3)$ from the first table, $m=\frac{-3-(-9)}{0 - (-1)}=\frac{-3 + 9}{0+1}=\frac{6}{1}=6$.

Step2: Calculate slope for second set

Using the points $(-1,5)$ and $(2,-7)$ in the slope formula $m=\frac{y_2 - y_1}{x_2 - x_1}$, we have $m=\frac{-7 - 5}{2-(-1)}=\frac{-12}{3}=-4$.

Step3: Calculate slope for third set

From the graph, if we take two points, say $(0,0)$ and $(1,4)$, then $m=\frac{4 - 0}{1-0}=4$.

Step4: Calculate slope for fourth set

For the points $(8,1)$ and $(8,2)$ from the fourth table, $m=\frac{2 - 1}{8 - 8}=\frac{1}{0}$, which is undefined.

Answer:

BGM A