SOLUTION: find the length and midpoint of the line segment connecting (-4,3) and (3,5). thanks for the help!

Question 179078: find the length and midpoint of the line segment connecting (-4,3) and (3,5).
thanks for the help!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Length

Start with the distance formula.

Plug in , , , and .

Subtract from to get .

Subtract from to get .

Square to get .

Square to get .

Add to to get .

So our answer is

Which approximates to

So the distance between the two points is approximately 7.28 units.

This means that the length of the segment is about 7.28 units.

Midpoint

To find the midpoint, first we need to find the individual coordinates of the midpoint.

X-Coordinate of the Midpoint:

To find the x-coordinate of the midpoint, simply average the two x-coordinates of the given points by adding them up and dividing that result by 2 like this:

So the x-coordinate of the midpoint is

-----------------------------------------------------

Y-Coordinate of the Midpoint:

To find the y-coordinate of the midpoint, simply average the two y-coordinates of the given points by adding them up and dividing that result by 2 like this:

So the y-coordinate of the midpoint is

So the midpoint between the points

and

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