00:01
We have to write the inequality for this graph, and we have to write it as x plus y is either greater than or less than, equal to, and then a number.
00:14
So let's first figure out what the equation of the line is.
00:19
So we have two points, or we need two points in order to figure this out.
00:23
So i'm going to use the x and y intercepts.
00:26
So the first one is going to be 0, negative 2.
00:31
This is the y -intercept.
00:34
It's where it crosses the y -axis.
00:38
And then the x -intercept is going to be 3, 0.
00:42
This is where it crosses the x -axis.
00:47
Now, it doesn't matter whichever one you want to pick as 0 .1 or 0 .2, but since i wrote them in this way, i'm just going to say point 1 is the y -intercept and point 2 is the x -intercept.
00:59
So i'm going to write it in the form y equals mx plus b.
01:06
Let's figure out m.
01:07
M is y2 minus y1 over x2 minus x1.
01:15
We get these from the points 1 and 2.
01:19
So y2 in my case is going to be 0.
01:23
Y1 is negative 2.
01:25
X2 is 3, x1 is 0.
01:30
So this becomes positive 2 over 3, or 2 thirds.
01:37
Now this makes sense because we can see that the graph is increasing from left to right across our screens, so therefore we know that we're going to have a positive slope.
01:48
So now let's figure out b.
01:51
B is the y -intercept.
01:56
Well we already figured that out.
01:58
So our b value is just going to be that negative 2, but let's show you how you can actually figure it out.
02:07
So you're going to take any point you want, either point 1 or point 2 and you're gonna solve for b so i'm going to solve i'm gonna use point 2 so i'm gonna solve for 0 is equal to 2 thirds times 3 plus b so 0 is equal to 6 thirds plus b 0 is equal to 2 plus b b is equal to negative 2 so so our y -intercept is negative 2...