Question

How do you find the midpoint of (-4,-5) and (1,-2)?

Answer 1

`(-3/2,-7/2)`

Explanation:

`"the coordinates of the midpoint are the average of"`
`"the coordinates of the endpoints"`

`"midpoint "=[1/2(-4+1),1/2(-5-2)]`

`color(white)(xxxxxxx)=(-3/2,-7/2)`

Answer 2

See a solution process below:

Explanation:

The formula to find the mid-point of a line segment give the two end points is:

`M = ((color(red)(x_1) + color(blue)(x_2))/2 , (color(red)(y_1) + color(blue)(y_2))/2)`

Where `M` is the midpoint and the given points are:

`(color(red)(x_1), color(red)(y_1))` and `(color(blue)(x_2), color(blue)(y_2))`

Substituting the values from the points in the problem gives:

`M = ((color(red)(-4) + color(blue)(1))/2 , (color(red)(-5) + color(blue)(-2))/2)`

`M = (-3/2 , -7/2)`