Question

name:
finding slope (mixed) maze
directions: begin at square (a) below. identify the slope of the lines represented below. color in the correct answer path and follow the path to complete the next question. continue until you get to the finished! square!
a: (image of two vertical lines with points, slope undefined)
b: (1, -1) & (0, -4)
c: (table with x: 3,5,7; y:1,1,1)
d: (2, -8) & (-3, 2)
e: (table with x:1,4,7; y:-5,-3,-1)
f: (image of a line with two points, slope calculation)
g: (0, 2) & (-2, 5)
h: (image of a line with two points, slope undefined)
i: (5, -1) & (1, 0)
j: (table with x:5,4,3; y:1,2,3)
k: (image of a horizontal line, slope 0)
finished! square

Explanation:

Step1: Find slope for A

Line is vertical, slope is undefined.

Step2: Find slope for E

Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$.
$m=\frac{-3-(-5)}{4-1}=\frac{2}{3}$

Step3: Find slope for I

Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$.
$m=\frac{0-(-1)}{1-5}=-\frac{1}{4}$

Step4: Find slope for J

Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$.
$m=\frac{2-1}{4-5}=-1$

Step5: Find slope for F

Line has rise -1, run 1.
$m=\frac{-1}{1}=-1$

Step6: Find slope for C

y-values are constant, slope = 0.

Step7: Find slope for G

Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$.
$m=\frac{5-2}{-2-0}=-\frac{3}{2}$

Step8: Find slope for D

Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$.
$m=\frac{2-(-8)}{-3-2}=\frac{10}{-5}=-2$

Step9: Find slope for H

Line has rise 2, run 1.
$m=\frac{2}{1}=2$

Step10: Confirm final path

Follow matching slopes to FINISHED!

Answer:

Path: A → E → I → J → F → C → G → D → H → FINISHED!