Answer:
EF = 15 units
Step-by-step explanation:
Calculate the distance using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = E (5, - 3) and (x₂, y₂ ) = F (- 4, 9)
EF = [tex]\sqrt{-4-5)^2+(9-(-3))^2}[/tex]
= [tex]\sqrt{(-9)^2+(9+3)^2}[/tex]
= [tex]\sqrt{81+12^2}[/tex]
= [tex]\sqrt{81+144}[/tex]
= [tex]\sqrt{225}[/tex]
= 15