Question # 7
Given two points
Determining the slope of the line passing through the points (0, 0) and (3, 3)
(x₁, y₁) = (0, 0)
(x₂, y₂) = (3, 3)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [3 - 0] / [3 - 0]
= 3 / 3
= 1
Thus, the slope of the line = m = 1
Question # 8
Given two points
Determining the slope of the line passing through the points (1, 3) and (5, 5)
(x₁, y₁) = (1, 3)
(x₂, y₂) = (5, 5)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [5 - 3] / [5 - 1]
= 2/4
= 1/2
Thus, the slope of the line = m = 1/2
Question # 9
Given two points
Determining the slope of the line passing through the points (4, 4) and (5, 3)
(x₁, y₁) = (4, 4)
(x₂, y₂) = (5, 3)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [3 - 4] / [5 - 4]
= -1 / 1
= -1
Thus, the slope of the line = m = -1