00:01
So for each of these problems, we want to write a system of qualities that would give us the following shaded solution set.
00:05
All right.
00:06
So let's start with the first one.
00:08
So first, i'm going to start with our solid line here.
00:10
Well, we want to write in the slope intercept form.
00:13
So we're going to have y.
00:14
Then because we're shading above the line, we know that it's going to be greater than them.
00:18
And because it's a solid line, it's going to be greater than they're equal to.
00:21
Well, then we need the slope.
00:23
Well, i can see our y intercept and our x intercept.
00:25
Well, how do i get there? i would go down four and write four.
00:29
Well, negative 4 over 4 is negative 1.
00:31
So i'll have negative 1x.
00:33
And then our y intercept, as i said, was 4, is plus 4.
00:36
So now we have our first inequality.
00:39
Now, for the second, i'm going to scroll down a little bit here.
00:41
So we're going to have y.
00:42
In this case, we're also shading above this line.
00:46
So it's going to be greater than.
00:47
But it's strictly greater than because it's a dashed line.
00:50
Well, now we need to find our slope.
00:52
Well, i can see our y intercept and i can see our x intercept...