Question

If `"P"("a"/3, "b"/2)` is the mid-point of the line segment joining A(−4, 3) and B(−2, 4) then (a, b) is

Options

• (−9, 7)

• `(-3, 7/2)`

• (9, −7)

• `(3, -7/2)`

Answer 1

(−9, 7)

Explanation;

Hint:

Mid-point of a line

`((x_1 + x_2)/2, (y_1 + y_2)/2)`

`("a"/3, "b"/2) = ((-4 - 2)/2, (3 + 4)/2)`

= `(-3, 7/2)`

`"a"/3` = −3 ⇒ a = −9

`"b"/2 = 7/2` ⇒ b = 7

(a, b) is (−9, 7)