00:01
In this problem, we're going to choose points for x or y and then find ordered pairs to graph this line.
00:09
Now, since we have 5y in there, it would be nice if we could get things to work out so that things would divide by 5 and we would get nice points to graph.
00:22
So let's choose values of x.
00:26
Let's choose x as negative 5, 0, and 5, and see if these will work out.
00:31
Out for us.
00:33
So first we're going to let x be negative five and we're going to solve for y.
00:41
So we have negative 15 plus 5y equals 5.
00:52
Let's add 15 to both sides.
00:56
We get 5y equals 20.
00:59
Divide both sides by five to solve for why we get y equals 4.
01:04
So negative 5, four is a graph we can is a point we can easily grab.
01:09
Next, when x is zero, we have three times zero plus five y equals five.
01:17
It'll be zero plus five y is five y equals five.
01:21
Divide both sides by five.
01:23
We got another nice point.
01:25
One y equals one.
01:30
Okay, next let's let x be five three times five plus five y.
01:38
Equals 5.
01:40
So we have 15 plus 5 y equals 5.
01:45
Subtract 15 from both sides.
01:48
We have 5 y equals negative 10.
01:52
Divide both sides by 5 and we get y equals negative 2.
01:57
So we have our three points.
02:00
Now any two points make a line.
02:02
So if we stopped at two points and graft it, we wouldn't know if our line was correct or not.
02:07
Since we have three points, if we made a mistake on one of them, we would get a triangle shape instead of a line.
02:14
If these three turn out to be a line, we're assured that we probably did our computations correctly.
02:20
So let's graph this.
02:22
We have 5 negative 4.
02:28
I have 10 issues here.
02:30
I'll just one second.
02:42
Back up...