Here's the question you clicked on:
NellyCaliente
1. Find the distance between point A(-3, 5) and point B(4, -6) in the coordinate plane.
\[d=\sqrt{(x-x1)^2 + (y-y1)^2}\]
\[d = \sqrt{(-3+4)^{2} + (5-6)^{2}}\]
D=\[\sqrt{(Y2-Y1)^2+(X2-X1)^2}\]
That's not just some random formula, it's the pythagorean theorem. Start thinking about points on a coordinate plane as really being triangles.
when we have something to calculate why to waste time
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 \[\sqrt{7^2+11^2}\]
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.