Question

Find the slopes of the lines passing through the given points.

i. L (-2, -3), M (-6, -8) 

ii. E (-4, -2), F (6, 3) 

iii. T (0, -3), s (0, 4)

Answer 1

i. L (x₁, y₁) = L (-2, -3) and M (x₂, y₂) = M (-6, -8)

Here, x₁ = -2, x₂ = – 6, y₁ = – 3, y₂ = – 8

∴ The slope of line LM is 5/4

ii. E (x₁, y₁) = E (-4, -2) and F (x₂, y₂) = F (6, 3)

Here, x₁ = -4, x₂ = 6, y₁ = -2, y₂ = 3

∴ The slope of line EF is 1/2.

iii. T (x₁, y₁) = T (0, -3) and S (x₂, y₂) = S (0, 4) 

Here, x₁ = 0, x₂ = 0, y₁ = -3, y₂ = 4

∴ The slope of line TS cannot be determined.