The distance between two points (x_{1},y_{1}) and (x_{2},y_{2}) is Ö[(x_{2}  x_{1})^{2} + (y_{2}  y_{1})^{2}].
Example:
Find the distance between the points (2,9) and (4,7).
Solution:
Formula for this problems is Ö[(x_{2}  x_{1})^{2} + (y_{2}  y_{1})^{2}].
Substituting the values in the above formula
= Ö[(4  2)^{2} + (7  9)^{2}]
= Ö[(2)^{2} + (2)^{2}]
= Ö(4 + 4)
= Ö8
Therefore, the distance of the points (2,9) and (4,7) is Ö8.
Showing the above problems in a graph paper.
Directions: Find the distance between given points. Also write at least 10 examples of your own.
