00:01
We are going to plot points m and n, find the distance between them, and find their midpoint.
00:06
In order to plot these two points, we have to remember first that our coordinates are x and y.
00:12
We have two points, so i'm going to label them x1 and y1, x2, and y2.
00:18
The x coordinate tells us how much left or right to go on the graph from the origin, negative being to the left, positive being to the right, and the same rules applied to the y coordinate with negative being down and positive being up.
00:30
I've scaled my graph by a half to make plotting these points more simple.
00:35
Negative 5 over 2 is negative 2 .5, so i start at the origin and i go to the left, 2 .5, and up 1 .3 for 4 over 3.
00:44
And i'm going to plot that point and label it point m.
00:48
Point n is at positive 1ā2, so to the right 1 half from the origin and then up 1 from there, and that gives me point n.
00:56
Because i'm finding the distance, i'm going to connect these with a line segment.
01:00
When finding the distance between two points, our distance formula is based on pythagorean theorem.
01:06
We are looking for the hypotenuse of the right triangle formed here.
01:13
So we're finding the horizontal and vertical lengths and then plugging those into pythagorean theorem and solving...