The coordinates of the point X are (-2,-1) and the coordinates of point Y are (-10,-1). What is the distance. In units, between the point X and point Y

Answer 1

To calculate the distance between two points on a Cartesian plane, you can use the distance formula which is derived from the Pythagorean theorem. However, in this case, since both points X and Y have the same y-coordinate, you do not need to use the full distance formula. Since they are aligned horizontally, the distance between them will be the absolute difference of their x-coordinates.

The distance between points X and Y can be found by subtracting the x-coordinate of point X from the x-coordinate of point Y (or vice versa, taking the absolute value to ensure the distance is non-negative):

Distance = |x2 - x1|

Plugging in the values for X (-2) and Y (-10):

Distance = |-10 - (-2)|
Distance = |-10 + 2|
Distance = |-8|
Distance = 8

So, the distance in units between point X (-2, -1) and point Y (-10, -1) is 8 units.