Question

Describe how to find the distance between two points on the coordinate plane.

Answer 1

Answer: Dist = 8.94, midpoint = (1,6)

Step-by-step explanation:

Basically, the Distance between the points is the hypotenuse of a right triangle, whose legs are parallel to the x and y axes.

Leg 1 = x2 - x1 = 5 - -3 = 8

Leg 2 = y2 - y1 = 8-4 = 4

Hypotenuse = (8^2 + 4 ^2) ^ .5 = (64+16)^.5

Sqrt(80) = 8.94

The midpoint is aligned with the midpoint of each leg

X = 5 - 8/2 = 1

Y = 8 - 4/2 = 6

So (1,6) is the midpoint