PLEASE HELP! 50 POINTS! 1. Using the general points A and B, label and explain where the midpoint formula comes from.
A(x1,y1)
B(x2,y2)

2. Determine the midpoint of the following segments.
a) A (-4, 6) B (2,-3)

3. Demonstrate how the Pythagorean Theorem turns into the distance formula.
A(x1,y1)
B(x2,y2)

4. Determine the distance from A to B. Round your answer to the nearest tenth.
a) A (-4, 6) B (2,-3) b) A (2,-1) B (-10, 4)

Find the coordinates of the midpoint of the segment joining the given points.

5. (0, 2) and (6, 4)
6. (6, -7) and (-6, 3)

7. What coordinate point is the midpoint of the line segment that goes from point (-1,3) to point (5,-5) in the standard (x, y) coordinate plane?

A. (-3,4)
B. (2,-1)
C. (3,-1)
D. (2,4)

Find the distance between the two points.

8. (-4, 2) and (2, -1)

9. A triangular ramp from the ground to the bed of a truck that stands 6 feet off the ground has a base of 8 feet. How long in feet is the length of the ramp?
A. 5 feet
B. 5.29 feet
C. 8 feet
D. 10 feet
E. 100 feet