#2 & #3 with answer and explanation

2) If we have 2 points K & M with their coordinates (x₁,y₁) & (x₂,y₂), the the distance of KM is given by the formula:

KM = √[(x₂-x₁)² + (y₂-y1)²] ; K(2,3) & M(5,1) (Given)
KM = √[(5-2)² + (1-3)²] ==>√(9+ 4) ==> KM = √13 (ANSWER D)

3) The coordinates are A(4,7) & B(-3,9). Follow & apply the same methodology as above:

AB =√[(x₂-x₁)² + (y₂-y1)²] ; A(4,7) & B(-3,9) (Given)

AB =√[(-3-4)² + (9-7)²] ==> AB = √[(-7)² + (2)²] ==> √(49+4) =√53 (B)

;