00:01
We want to graph the solution of this system of inequalities.
00:06
So first we are going to graph the line y equals 3x minus 7.
00:12
The y intercept is negative 7 and the slope is 3.
00:17
So we go to negative 7.
00:19
I have to scoot down a little bit here.
00:28
1, 2, 3, 4, 5, 6, 7.
00:36
Then the slope is 3 so from negative 7 i am going to go up 3 over 1.
00:42
Up 3 over 1.
00:44
And then i am going to connect those together.
00:51
So hard to draw with this.
00:57
What is the name of this new point right here? well you went up 3 so now you are at negative 4 and over 1.
01:05
So this is 1, negative 4.
01:08
And that is not a dotted line, it is a solid line.
01:11
But i had to draw it dotted because i can't draw a straight line.
01:19
Now we have to decide which side to shade on.
01:23
So pick a point.
01:25
How about 0, 0.
01:26
I am going to plug it in and if i get a true sentence then i am going to color the side 0, 0 is on.
01:34
If i get a false sentence i am going to color the other side.
01:38
So 0 less than or equal to 3 times 0 minus 7.
01:43
0 less than or equal to minus 7.
01:47
That is false.
01:49
So that means i want to shade this side over here.
01:54
And you could pick any number over there, any point, over here on the left hand side and it would have been false.
02:03
Or you could have picked a number, a point over on the right hand side and it would have been true.
02:07
No matter which one you picked you have to shade over here on the right for that one.
02:13
Alright now the next one, it is y equals negative 4 x minus 3.
02:20
So we are going to start at negative 3.
02:22
1, 2, 3.
02:26
And it's slope is negative 4 so i have to go down 4 and over 1.
02:32
So that is 0, negative 3...