00:01
In this question, we're given this paramedic equation.
00:04
We want to show that it describes the line segment joining p1, which has the point x1 by 1, and p2, which has the point x2, y2.
00:23
Now in general, t1 is here p2, suppose their gradient would be of the formula, y2 minus y1 over x2 minus x1.
00:43
So the line equation of joining p1 and p2 would be y minus a point y1 equals to m of x minus the corresponding x, which is x1.
01:10
So that will be y minus y1 equals to the m is this.
01:15
Y2 minus y1 over x2 minus x1 comes x minus x1.
01:20
So this is the line equation for p1.
01:23
Now we want to show that this hermetric equation actually describes that.
01:30
So we have x equals to x1 plus x2 minus x1 t.
01:38
So i'm going to express t in terms of the rest.
01:40
So x minus x1 is equals to this.
01:46
So my t will be x minus x1 over x2 minus x1.
01:52
Now i'm going to sub it into my y.
01:54
My y is this...