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    Where did this equation come from?

    I was perusing the internet and I came across a formula for the area of triangle in a coordinate plane. With Vertices of (x1,y1) (x2,y2) (x3,y3) Area= 1/2 [(y2-y1)(x1-x3)-(x2-x1)(y1-y3)] There was no description with the formula. Where did it come from and why does it work?