Two points are located at (a, c) and (b, c). Find the midpoint and the

distance between the two points.

Step-by-step explanation:

Given the two points (x1, y1) and (x2, y2), the midpoint is expressed using the formula;

M(X, Y) = ((x1+x2)/2), (y1+y2)/2)

X = (x1+x2)/2,

Y = (y1+y2)/2

Givrn the coordinate of two points located at (a, c) and (b, c),

x1 = a, y1 = c, x2 = b and y2 = c

Substituting the values into the formula above to get the midpoint (X,Y)

X = (a+b)/2

Y = (c+c)/2

Y = 2c/2

Y = c

The midpoint is ( (a+b)/2, c)

The formula for calculating the distance between two points is expressed as D = √(x2-x1)²+(y2-y1)²

D = √(b-a)²+(c-c)²

D = √(b-a)²+0²

D = √(b-a)²

D = b-a

Hence the distance between the two points is b-a

c

step-by-step explanation: