Answer
Find out the length of MN .
To prove
Formula
[tex]Distance\ formula = \sqrt{{(x_{2} - x_{1})^{2} +{(y_{2} - y_{1})^{2} }[/tex]
Two points be M (2, -2) and N(8,4) .
Put in the formula
[tex]Distance\ formula = \sqrt{{(8 - 2)^{2} +{(4 - (-2))^{2} }[/tex]
Solving the above
[tex]Distance\ formula = \sqrt{{6^{2} +{6^{2} }[/tex]
[tex]Distance\ formula = \sqrt{36+36}[/tex]
[tex]Distance\ formula = \sqrt{2\times36}[/tex]
[tex]Distance\ formula = \sqrt{72}[/tex]
Distance formula = 8.5 unit (approx)
Therefore the length of MN is 8.5 unit (approx) .
