Question

Find the coordinates for the midpoint of the segment with endpoints give (3,5) and (-2,0)

Answer 1

The coordinates of the mid-point are :

`((1)/(2), (5)/(2))`

Explanation:

We know that, the coordinates of the mid-point (x, y) of a line segment joining the points (x₁, y₁) and (x₂, y₂) is given by

`(x, y) = ((x_(1) +x_(2) )/(2),(y_(1)+y_(2) )/(2) )`

Now, we have the given points as (3, 5) and (-2, 0).

By using the above formula, coordinates of the mid-point (x, y) of the line-segment joining the points (3, 5) and (-2, 0) is given by,

`x = (3+(-2))/(2) = (3-2)/(2) = (1)/(2)`

`y = (5+0)/(2) = (5)/(2)`

∴ coordinates of the mid-point of the line-segment joining the points (3,5) and (-2,0) is
`((1)/(2), (5)/(2))`.