Answer:
The complete table is shown below:
Graph Vertical Change Horizontal Change Slope
A 6 3 2
B 2 8 1/4
C 40 20 2
Step-by-step explanation:
Graph A
From graph A, it is clear that
(x₁, y₁) = (1, 3)
(x₂, y₂) = (4, 9)
Vertical change = y₂ - y₁ = 9 - 3 = 6
Horizontal change = x₂ - x₁ = 4 - 1 = 3
Using the formula
Slope = m = Vertical Change / Horizontal Change
= [y₂ - y₁] / [x₂ - x₁]
= [9 - 3] / [4 - 1 ]
= 6 / 3
= 2
Thus, the slope of the line = m = 2
Graph B
From graph B, it is clear that
(x₁, y₁) = (2, 1.5)
(x₂, y₂) = (10, 3.5)
Vertical change = y₂ - y₁ = 3.5 - 1.5 = 2
Horizontal change = x₂ - x₁ = 10 - 2 = 8
Using the formula
Slope = m = Vertical Change / Horizontal Change
= [y₂ - y₁] / [x₂ - x₁]
= [3.5 - 1.5] / [10 - 2 ]
= 2 / 8
= 1/4
Thus, the slope of the line = m = 1/4
Graph C
From graph C, it is clear that
(x₁, y₁) = (10, 35)
(x₂, y₂) = (30, 75)
Vertical change = y₂ - y₁ = 75 - 35 = 40
Horizontal change = x₂ - x₁ = 30 - 10 = 20
Using the formula
Slope = m = Vertical Change / Horizontal Change
= [y₂ - y₁] / [x₂ - x₁]
= [75 - 35] / [30 - 10 ]
= 40 / 20
= 2
Thus, the slope of the line = m = 1/4
Therefore,
The complete table is shown below:
Graph Vertical Change Horizontal Change Slope
A 6 3 2
B 2 8 1/4
C 40 20 2
