Question

Show all work please!!!!!!

1. PB (there is a line on top) is a line segment on a number line. It has endpoints at -2 and 12. What is the coordinate of its midpoint?

2. The midpoint of CD (there is a line on top) is E(-1, 0). One endpoint is C(5,2). What are the coordinates of the other endpoint?

3. Explain the distance formula. Then use it to calculate the distance between A(1, 1) and B(7, -7).

Answer 1

The midpoint formula is:
(point1 + point2)/2

1) (-2 + 12)/2 = 5

2) (-1 +5)/2 = 2
(0+2)/2 = 1
(2,1)

3) Sqrt of (x2-x1)^2 + (y2 - y1)^2
sqrt of (7 -1)^2 + (-7 - 1)^2
sqrt of (6)^2 + (-8)^2
sqrt of 36 + 64
sqrt of 100
10

Hope this helps!