Question

1. Find the slope of the line passing through the points (3,5) and (3, -6).

Answer 1

                                               Question 1)

Given the points

• (3, 5)

• (3, -6)

Finding the slope between (3, 5) and (3, -6)

• (x₁, y₁) = (3, 5)

• (x₂, y₂) = (3, -6)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [-6 - 5] / [3 - 3]

               = -11 / 0

               = undefined or ∞

Thus, the slope of the line = m = undefined.

Note: The undefined slope means the line is vertical.

                                            Question 2)

Given the points

• (-6, 2)

• (8, 2)

Finding the slope between (-6, 2) and (8, 2)

• (x₁, y₁) = (-6, 2)

• (x₂, y₂) = (8, 2)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [2 - 2] / [8 - (-6)]

               = 0 / 14

               = 0

Thus, the slope of the line = m = 0.

Note: The zero slope means the line is horizontal.