Answer:
AB = [tex]\sqrt{34}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A(- 2, 1) and (x₂, y₂ ) = B(3, 4)
d = [tex]\sqrt{(3+2)^2+(4-1)^2}[/tex]
= [tex]\sqrt{5^2+3^2}[/tex]
= [tex]\sqrt{25+9}[/tex]
= [tex]\sqrt{34}[/tex]
