find the length and midpoint of the segment with endpoints (-2, 1) and (0, -5)

Answer 1

Greetings! Lets solve this shall we ?

So, we are going to find the length first. The length is a shorthand way of saying finding the distance between the two points. Then, we will find the midpoint afterwards. Now, we yield the distance formula to be

d = √(x2-x1)² + (y2-y1)²

d = √(0-(-2))² + (-5-1)²

d = √4 + 36

d = √40 = √4*10

d = 2√10

Now we find the Midpoint such that

[(x2+x1) / 2, (y2+y1) / 2]

[(-2+0) / 2, (-5+1) / 2]

( -2/2, -4/2)

(-1, -2)

I hope this helped!