Find the distance between (-1,2) and (4,0)

 The distance between (-1,2) and (4,0) is about 5.4 units

Step-by-step explanation:  You can use the Pythagorean Theorem to calculate the distance.

The difference in x-values is one side of the triangle  4- (-1) = 5  Side a

The difference in y-values is the other side  0- 2 = -2  Side b

The distance you are looking for is the hypotenuse, side c

Pythagorean Theorem : substitute the numbers we found for a and b

c² = a² + b²

c² = 5² + -2²

c² = 25 + 4

c² = 29    

29  is the "square on the hypotenuse."  So take the square root (use a calculator)

√29 = 5.385

You can round that to 5.4 units