Question

What is the distance between the two points graphed below 6,8 -5,-2

Answer 1

To find the distance between the points (6, 8) and (-5, -2), apply the distance formula to obtain √221, which is approximately 14.866 units.

Step-by-step explanation:

To calculate the distance between two points on a Cartesian plane, you can use the distance formula derived from Pythagorean theorem. The distance 'd' between two points with the coordinates (x1, y1) and (x2, y2) is given by: d = √((x2 - x1)2 + (y2 - y1)2).

For the points (6, 8) and (-5, -2), you plug them into the formula to get the distance:

`d = √((-5 - 6)^2 + (-2 - 8)^2)\\d = √((-11)^2 + (-10)^2)\\d = √(121 + 100)\\d = √221`

The exact distance is √221, which is approximately 14.866 units.