What is the distance between (4, 2) and (-5, -2) ?

1 Answer
Burglar
May 26, 2016

The distance is approximately 9.84.

Explanation:

If you have two points with coordinates (x_1, y_1) and (x_2, y_2) the distance is given by the Pitagora's theorem as:

d=sqrt((x_1-x_2)^2+(y_1-y_2)^2).
For you this mean
d=sqrt((4+5)^2+(2+2)^2)=sqrt(9^2+4^2)=sqrt(81+16)=sqrt(97)\approx 9.84.

Be careful when you apply this formula that you have to use the correct signs. For example I have that the x coordinate of the second point is x_2=-5. In the formula I have x_1-x_2 that is x_1 - (-5) and the double minus results in a +. This is why you see it with a plus sign.

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