Question

fiona jogs every morning on a track that can be represented as a straight line. Her starting coordinates is (-2,5) and the fishing coordinates is (4,-5). Where are the coordinates of the point where fiona has run half the distance?

Answer 1

We are given first coordinate (-2,5) and second coordinate (4, -5).

We need to find the coordinate of the half the distance.

Note: The mid-point coordinate is the coordinate of  half the distance.

So, we need to find the mid-point coordinate of the given coordinates.

We know mid-point formula:

$Mid-point=(\frac{x1+x2}{2}, \frac{y1+y2}{2})$

Plugging values of x1,y1 and x2, y2 in the above formula.

$Mid-point=(\frac{-2+4}{2},\frac{5+-5}{2})$

Mid-point = $(\frac{2}{2},\frac{0}{2})$

Mid-point = (1,0).

Therefore, (1,0) is the only coordinate of the point where fiona has run half the distance.