Distance formula

Distance may be defined as the measure of length from one point to another.The formulae of distance d between the points (x1,y1) and (x2,y2) is given as : d = square root of ((x2-x1)^2 + (y2-y1)^2)

Example: Suppose (-1,-2) and (-3,5) are the two points,then the distance d between the two points can be calculated by using the above formulae.Then we get , d = square root of ((-3-(-1))^2 + (5-(-2))^2 = sq.root of ((-3+1)^2 + (5+2)^2) = sq.root of ((-2)^2 + 7^2) = sq.root of 4 +49 = sq.root of 53.
There distance d between the two points = sq.root of 53.

Distance mid-point formula: According to the distance formula, (x1, y1) and (x2, y2) are the end points of the distance d.

The mid point distance formula is written as: ((x1+x2)/2)((y1+y2)/2)units.

Example of finding midpoints between two points:
Suppose if we are to find the mid-point of the two points (6,3) and (9,1).By using the mid-point formula ((x1+x2)/2)((y1+y2)/2)units, we can write as: ((6+9)/2)((3+1)/2) units = (15/2)(4/2) = 7.5 x 2 = 15 units.