Find the distance between the pair of points. E(6, -3) F(-3,9)

Answer 1

This used to confuse me, too, buuuut if we draw a line segment joining our 2 points, then another from (-3,9) to (-3,-3) and a 3rd from (-3,-3) over to (6,-3), we have a right triangle with the line segment joining our two points being the hypotenuse. What's the formula?

a² + b² = c², right?

c = √(a² + b²)

How do we find the length of our legs? How far apart are our points?

c = √((6 - (-3))² + ((-3) - 9)²)

c = √(9² + (-12)²)

c = √(81 + 144)

c = √225

c = 15

Answer 2

Use the distance formula.