Question

Slopes in order (3,13) (27,13) ; (1,4) (7,10) ; (-3,1) (2,11) ; (0,10) (5,11)

Answer 1

Explanation:

Given any two points, you can find the slope of the line between them using the equation

`m = (y_2-y_1)/(x_2-x_2)`

#1:

(3, 13), (27, 13):
`m = (13-13)/(27-3) = (0)/(24) = 0\\`

(1, 4), (7, 10):
`m = (10-4)/(7-1) = (6)/(6) = 1\\`

(-3, 1), (2, 11):
`m = (11-1)/(2-(-3)) = (10)/(5) = 2`

(0, 10), (5, 11):
`m = (11-10)/(5-0) = (1)/(5) = 0.2`

In ascending order:

#1: (3, 13), (27, 13): 0

#2: (0, 10), (5, 11): 0.2

#3: (1, 4), (7, 10): 1

#4: (-3, 1), (2, 11): 2