Question

The point A has co-ordinates (-4,6) and the point B has co-ordinates (7,-2).

Calculate the length of the line AB.​

Answer 1

√185

Explanation:

(x₁,y₁)= (-4,6)

(x₂,y₂)=(7,-2).

the length of the line AB =√{(x₂-x₁)²+(y₂-y₁)²}

=√[{7-(-4)}²+{-2-6}²]

=√[{7+4}²+{-2-6}²]

= √{11²+(-8)²}

= √121+64

=√185

Answer 2

√185 or 13.60 units to the nearest hundredth.

Explanation:

For the points (x1,y1) and (x2,y2) the length between the points is given by:

L = √ [ (x2-x1)^2 + (y2-y1)^]

So here we have:

Length of AB √ [ (7- - 4)^2 + (-2 - 6)^2]

= √ (121 + 64)

= √185.