Question

Write down the equation of the line whose gradient is 3/2 and which passes through P, where P divides the line segment joining A (–2, 6) and B (3, –4), in the ratio 2:3.

Answer 1

Let the coordinates of the point P be (x, y)

[Given: m : n = 2 : 3, y₁ = 6 and y₂ = –4]

The equation of line whose m = 3/2 and

passing through the point P (0, 2)

y - 2 = 3/2 (x - 0)

2y - 4 = 3x

3x - 2y + 4 = 0