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Please please please help me I do not understand this

X
Complete the table
Graph
Vertical
change
horizontal
change
slope
А
B
B
С
(30,75)
(10.3.5)
(10.35)
/(1,3)
|(2.1.5)

Please please please help me I do not understand this X Complete the table Graph Vertical-example-1

1 Answer

12 votes

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

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

User Nidia
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