A line intersects the y-axis and x-axis at the points P and Q respectively

Coordinate Geometry (10)

A line intersects the y-axis and x-axis at the points P and Q respectively. If (2, -5) is the mid-point of PQ, then find the coordinates of P and Q.

Answer

Let the coordinates of points P and Q be (0, b) and (a, 0) respectively.

$$ \frac{a}{2} = 2 $$

a = 4

$$ \frac{b}{2} = -5 $$

b = -10

P(0, -10) and Q(4, 0)

Exam Year: 2017