explain why the distance formula is not needed to find the distance between two points that lie on a horizontal or a vertical line.

please help 10 POINTS AND 5 STARS!

January 4th, 2011 @10:35 am

Easy is you think about it. For a horizontal line there is no change in the value of y and therefore the y term reduces to zero. The same is true for the x term when looking at a vertical line. That would leave the distance formula with only one number to be squared. Kind of silly to do that if all your going to do is then take the square root of that number.

The distance between two points that lie on a horizontal line is the difference of their x values.

The distance between two points that lie on a vertical line is the difference of their y values.