Question

IfA=(-2,-4) and B=(-8,4), what is the length of AB?

Answer 1

10 units

solution,

A(-2,-4)--->(X1,y1)

B(-8,4)----->(x2,y2)

now,

`ab = \sqrt{(x2 - x1) ^(2) + {(y2 - y1)}^(2) } \\ \: \: \: \: = \sqrt{ (- 8 - ( - 2)) ^(2) + (4 - ( - 4)) ^(2) } \\ \: \: \: = \sqrt{( - 8 + 2) ^(2) + {(4 + 4)}^(2) } \\ \: \: \: = \sqrt{( - 6) ^(2) + {(8)}^(2) } \\ \: \: = √(36 + 64) \\ \: \: \: = √(100) \\ \: \: \: = \sqrt{ {(10)}^(2) } \\ \: \: \: \: = 10 \: units`

Hope this helps..

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