Find the distance between the pairs of points E(5,-1), F(-4,11)

15

Explanation:

Step one

Given data

The point coordinate is E(5,-1), F(-4,11)

Hence

x1=5

y1=-1

x2=-4

y2= 11

Step two

Required

Distance between the two coordinate point

Applying the Pythagoras theorem for the distance between two points

d=√((x2-x1)²+(y2-y1)²)

d=√((-4-5)²+(11-(-1))²)

d=√-9²+12²

d=√81+144

d=√225

d=15

Hence the Distance the points is 15