Find the distance between the points (
–
5,7) and (
–
10,
–
4).
To find the distance between two points, we can use the distance formula:
√((x2-x1)^2 + (y2-y1)^2)
Using the given coordinates, let's label point 1 as (x1, y1) and point 2 as (x2, y2):
Point 1: (-5, 7)
Point 2: (-10, -4)
Now we can substitute the values into the formula:
√((-10 - (-5))^2 + (-4 - 7)^2)
Simplifying that equation:
√((-10 + 5)^2 + (-4 - 7)^2)
√((-5)^2 + (-11)^2)
√(25 + 121)
√146
So the distance between the two points is √146, which is approximately 12.083 units.