Answer:
10.81 units
Explanation:
Given data
point H ( -4,6 ) and point I ( 2,-3 )
x1= -4
y1=6
x2= 2
y2=-3
The formula for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
d=√((2-(-4))²+(-3-6)²)
d= √(2+4)²+(-9)²)
d= √(6)²+(-9)²)
d= √36+81
d=√117
d= 10.81 units
Hence the distance between the points is 10.81 units