Question

Given the rectangle ABCD, AB has a slope of 2/3, what is the slope of BC?

Answer 1

If ABCD is the rectangle, then AB and BC are perpendicular.

Let m₁ and m₂ - slopes of perpendicular lines. Therefore

m₁m₂ = -1 → m₂ = -1/m₁.

We have m₁ = 2/3 then m₂ = -1/(2/3) = -3/2.

Answer: The slope of BC is -3/2.