Question

How to find the point that is equidistant from (5,-5) and (1,1)

Answer 1

Answer:

(3, -2)

Step-by-step explanation:

The midpoint of two points is half-way between the x-values and the y-values.

The formula is

M = ((x₁ + x₂)/2, (y₁ + y₂)/2)

For the points (5,-5) and (1,1),

Half way between the x values is

(x₁ + x₂)/2 = (5 + 1) /2 =  6/2 =  3

Half way between the y values is

(y₁ + y₂)/2= (-5 + 1)/2  = -4/2 = -2

M = (3, -2)

The graph below shows your two points at (5,-5) and (1,1) and the mid-point at (3, -2).