Question

X has coordinates (a,3a) and Y has coordinates (-5a,0). Find the coordinates of the midpoint of XY

Answer 1

For this case we have that by definition, the midpoint of a segment is given by:

$XY = (\frac {x1 + x2} {2}, \frac {y1 + y2} {2})$

We have the following ordered pairs:

$(x1, y1) = (a, 3a)\\(x2, y2) = (- 5a, 0)$

Therefore, substituting values we have:

$XY = (\frac {a-5a} {2}, \frac {3a + 0} {2})$

Rewriting we have:

$XY = (\frac {-4a} {2}, \frac {3a} {2})$

$XY = (- 2a, \frac {3a} {2})$

Answer:

the coordinates of the midpoint of XY

$XY = (- 2a, \frac {3a} {2})$