Find the distance between point A(-2,5) and point B(4,- 4) on the graph.

Answer:
Option (C).
Step-by-step explanation:
From the figure attached,
Ordered pairs of A, B and C are (-2, 5), B(4, -4) and (-2, -4).
Therefore, Length of AC = 5 + 4 = 9 units
Length of side BC = 4 + 2 = 6 units
By using Pythagoras theorem in the given triangle ABC,
Length of side AB = [tex]\sqrt{(AC)^2+(BC)^2}[/tex]
= [tex]\sqrt{9^2+6^2}[/tex]
= [tex]\sqrt{81+36}[/tex]
= [tex]\sqrt{117}[/tex]
= 10.817
≈ 10.82 units
Therefore, Option (C) is the answer.