00:01
Okay, so let's learn what we can about this line.
00:04
So we have a graph that is a line.
00:06
That's nice.
00:07
It crosses the x -axis at the x -intercept.
00:10
It crosses the y -axis at the y -intercept.
00:12
So we can find those intercepts.
00:15
We could find the slope of the line.
00:17
And we'll also write an equation in slope -intercept form for this line.
00:21
So let's get started.
00:23
Let's see.
00:23
We'll start with finding the x -intercept.
00:28
X -i -n -t for i -t means intercept.
00:30
And so the x -in -t.
00:31
Intercept, where does it cross the x -axis? that would be at this point right here.
00:37
We'll write our x intercept and our y intercept, but in this form, x, comma, y.
00:43
So what is the x value of this coordinate? starting at the origin, we're counting left, that's a negative x direction.
00:51
So that's, would be negative three.
00:53
Now, the y value would be zero.
00:56
So x intercept is negative three, zero.
01:00
This is sort of like the format for any x intercept is x value comma zero.
01:06
And then what about the y intercept? well, that would be where it crosses the y axis.
01:12
That would be at this point here.
01:15
And so again, we'll have zero as part of our coordinate.
01:22
But this time, let's see.
01:25
Let's see what happens.
01:26
If i start here at the origin, i don't go left or right.
01:29
So there's actually no movement for the x coordinate.
01:31
That means the x value of this coordinate is zero and i just go up one in the positive y direction so zero one is the y intercept another important characteristic about the graph of any line is the slope so you could think of the slope as rise over run you could think of it as that little triangle here means change or the change in y over change in x you could think of it as vertical over horizontal and the slope will be constant.
02:08
It will be the same for between any two points on the line...