1. Find the distance between point A(-3, 5) and point B(4, -6) in the coordinate plane.

Question

1.	Find the distance between point A(-3, 5) and point B(4, -6) in the coordinate plane.

anonymous · Answer

$$d=\sqrt{(x-x1)^2 + (y-y1)^2}$$

anonymous · Answer

$$d = \sqrt{(-3+4)^{2} + (5-6)^{2}}$$

anonymous · Answer

D=$$\sqrt{(Y2-Y1)^2+(X2-X1)^2}$$

kainui · Answer

That's not just some random formula, it's the pythagorean theorem. Start thinking about points on a coordinate plane as really being triangles.

anonymous · Answer

when we have something to calculate why to waste time

anonymous · Answer

because if you think, you can just about do it in your head
the distance between -3 and 4 is 7
the distance between -6 and 5 is 11
so you have a right triangle, one side is 7, the other sides is 11 and the hypotenuse (distance) is 
$$\sqrt{7^2+11^2}$$

kainui · Answer

Exactly. Plus, if you understand the concept, you can use that to help you learn new things or solve problems similar, which just knowing the formula can't help you with.

anonymous · Answer

good point