0:00
All right.
00:01
I'm just going to draw out my own figure.
00:05
And if we want the distance between two points, i'm going to call this point 1, x1, y1.
00:12
And doesn't have to be in the first quadrant, you know, because this point could be in the fourth quadrant where x is positive and y is negative.
00:20
It does not matter.
00:22
And then we have another point.
00:23
I'll call point 2 is x2, y2.
00:28
So if we want the distance between those two values, what the hint is telling us to do is to figure out what the legs need to be.
00:40
And then i'm going to call it side length a and side length b, because a lot of students are familiar with the pythagorean theorem of a squared plus b squared equals the hypotenuse, which i label d squared in this problem.
00:54
So my question to you then is, well, what is the length of a? well, if we consider this point right here, that would be if you notice on the x -axis it's right it's x2 and then up y -1 units so since these are the same y values i'm just going to underline them real quick those two you know just think we're going horizontally the y coordinates not shifting anything so the length of a is equal to x2 minus x1.
01:31
So i can substitute in this equation that i have up here that a is equal to x2 minus x1...