Question

In the following diagram, write down:

1. the co-ordinates of the points A, B and C.
2. the equation of the line through A and parallel to BC.

Answer 1

i. The co-ordinates of points A, B and C are (2, 3), (−1, 2) and (3, 0) respectively.

ii. Slope of BC = `(0 - 2)/(3 +1) = (-2)/4 = (-1)/2`

Slope of a line parallel to BC = Slope of BC = `(-1 )/2`

Required equation of a line passing through A and parallel to BC is given by
y − y₁ = m(x − x₁)

`y − 3 = (-1)/2 (x − 2)`

2y − 6 = −x + 2

x + 2y = 8