Find the distance and midpoint of the line segment connecting (-2,4) and (6,0).

Question

No decimals. Express the results in simplest radical form.

Answer 1

d = √[(x₂-x₁)² + (y₂-y₁)²]

d = √[(6+2)² + (0-4)²] = √[8² + (-4)²]

d = √(64+16) = √80

d = 4√5

 

x_m = (x₁ + x₂)/2 = (-2+6)/2 = 4/2 = 2   

y_m = (y₁ + y₂₎/2  = (4+0)/2 = 4/2 = 2

M(2,2)