Explanation

Explanation:

Let the given points be A(5,-7) and B(9,8)


A(5,-7) and B(9, 8)

Here,

X1 = 5 , Y1 = -7 and X2 = 9, Y2 = 8


By using the distance formula, we have

AB² = (X2-X1)² + (Y2-Y1)²

AB² = (9-5)² + (8-(-7))²

AB² = (4)² + (15)²

AB² = 16+225


AB² = 241

AB = ✓241 = 15.5 units.

Hence,


Distance between the points A(5,-7) and B(9,8) is 15.5 units.