Answer:
10.3 units
Step-by-step explanation:
From the given graph, we can see the coordinates of the points B (-2, 4) and D (3, -5).
To use the Pythagorean Theorem, we must have a right angled triangle. So we can select a point X (3, 4) to calculate the distance between B and D using the Pythagoras Theorem.
BX = 5, XD = 9
BD = [tex]\sqrt{BX^2+XD^2}[/tex]
BD = [tex]\sqrt{(5)^2+(9)^2} =\sqrt{106} =10.29[/tex]
Therefore, the points B and D are 10.3 units apart.
