Question

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

Answer 1

Answer:

The coordinates of the mid-point are :

$(\frac{1}{2}, \frac{5}{2})$

Step-by-step 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

$(x, y) = (\frac{x_{1} +x_{2} }{2},\frac{y_{1}+y_{2} }{2} )$

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,

$x = \frac{3+(-2)}{2} = \frac{3-2}{2} = \frac{1}{2}$

$y = \frac{5+0}{2} = \frac{5}{2}$

∴ coordinates of the mid-point of the line-segment joining the points (3,5) and (-2,0) is $(\frac{1}{2}, \frac{5}{2})$.