Question

A, B and C have co-ordinates (0, 3), (4, 4) and (8, 0) respectively. Find the equation of the line through A and perpendicular to BC.

Answer 1

Slope of BC = `(0 - 4)/(8 - 4) = (-4)/4 = -1`

Slope of line perpendicular to BC = `(-1)/"slope of BC" = 1`

The equation of the line through A and perpendicular to BC is given by:

y − y₁ = m(x − x₁)

y − 3 = 1(x − 0)

y − 3 = x

y = x + 3