00:01
All right, let's consider a situation where a function is modeled by the points listed in the table here.
00:08
Negative 6, negative 22, negative 4, negative 14, negative 2, negative 6, 02, 210, 418, 626, 834, and 10, 42.
00:20
And our challenge is that we want to find the slope, the y intercept, and what our function is written in slope intercept form.
00:31
Slope, or m, remember, is our change in our y divided by the change in the x.
00:41
So one strategy we could use here is just to look at any two points we wanted.
00:48
I'm going to look at two of these positive points, 626 and 834, and we can look at the change in the y and the change in the x.
01:00
So the change in the y, 34 minus 26, and the change in x, 8 minus 6.
01:12
You could choose any two points you want it.
01:14
They don't have to be next to each other.
01:16
It really doesn't matter.
01:18
It's a linear equation, so that means that the change will be the same, the matter of which two points you choose...