Question

Find the midpoint of AB if

A(-9, 2) and B(5,-4).Midpoint =<
X+ X2
2
y + Y
2
>

Answer 1

Given parameters:

Coordinate of the two points = A(-9, 2) and B(5,-4)

Unknown:

The mid point of AB;

Solution

To find the mid point of line AB, use the expression below;

`x_(m)` ,
`y_(m)` =
`(x_(1) + x_(2) )/(2)` ,
`(y_(1) + y_(2) )/(2)`

x₁ = -9, x₂ = 5

y₁ = 2, y₂ = -4

Input the parameters and solve;

`x_(m)` ,
`y_(m)` =
`(-9 + 5)/(2)` ,
`\frac{2 + (-4)} {2}` =( -2, -1 )

The coordinate of the mid point is ( -2, -1 )