Answer:
The coordinates of the mid-point are :
[tex](\frac{1}{2}, \frac{5}{2})[/tex]
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
[tex](x, y) = (\frac{x_{1} +x_{2} }{2},\frac{y_{1}+y_{2} }{2} )[/tex]
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,
[tex]x = \frac{3+(-2)}{2} = \frac{3-2}{2} = \frac{1}{2}[/tex]
[tex]y = \frac{5+0}{2} = \frac{5}{2}[/tex]
∴ coordinates of the mid-point of the line-segment joining the points (3,5) and (-2,0) is [tex](\frac{1}{2}, \frac{5}{2})[/tex].
