Question

If (3, – 6) is the mid-point of the line segment joining (0, 0) and (x,  y), then the point (x, y) is ______.

Options

• (–3, 6)

• (6, –6)

• (6, –12)

• \(\left(\frac{3}{2},-3\right)\)

Answer 1

If (3, – 6) is the mid-point of the line segment joining (0, 0) and (x,  y), then the point (x, y) is (6, –12).

Explanation:

Since (3, – 6) is the mid-point,

\(\frac{0 + x}{2} = 3 \Rightarrow x = 6\)

And \(\frac{0 + y}{2} = -6 \Rightarrow y = -12\)