find the distance between point a (-2, 4) and b (1, -1)

Answer 1

To find the distance between point A(-2, 4) and point B(1, -1), we can use the distance formula.

The distance formula is given by:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

In this case, we have:

x₁ = -2, y₁ = 4 (coordinates of point A)
x₂ = 1, y₂ = -1 (coordinates of point B)

Now we can substitute the values into the formula:

d = √[(1 - (-2))² + (-1 - 4)²]
= √[(1 + 2)² + (-1 - 4)²]
= √[3² + (-5)²]
= √[9 + 25]
= √34

So the distance between point A(-2, 4) and point B(1, -1) is √34 or approximately 5.83 units.