00:01
All right, so we're supposed to eliminate the parameter t using an xy table.
00:11
This seems a little strange to me because it would be pretty easy just to substitute.
00:23
And i'm not exactly sure how this xy table is going to help me to figure out the cartesian equation.
00:41
So let's just go on a little adventure here together.
00:48
If we put in some values for t, let's put in negative three, negative two, negative one, zero, one, two, all right, if we put in some values of t, that will give us values for x and y.
01:10
I'm going to go ahead and do the one, negative 3.
01:17
So it's going to be 4 minus t is negative 3.
01:28
Okay, 4 minus negative 3 is 7.
01:33
Two negatives in a row make a positive.
01:36
Okay, 4 minus negative 2 is 6.
01:46
4 minus negative 1 is 5, 4 minus 0 is 4, 4 minus 1 is 3.
01:54
Oh, there's a pattern here.
02:00
Okay? thank goodness, because if there wasn't a pattern, i'm not sure how we'd come up with the equation.
02:10
All right, let's get the y value.
02:19
Okay.
02:23
3t plus 1.
02:24
All right.
02:27
3 times negative 3 plus 2.
02:37
I think i said 1 by accident.
02:40
Okay.
02:47
All right, three times negative three is negative nine, plus two is negative seven.
02:55
All right, three times negative two plus two.
03:06
All right, three times negative two is negative six, plus two is negative four.
03:25
All right, three times negative one plus 2 is 3 times negative 1 is negative 3 plus 2 is negative 1.
03:39
3 times 0 plus 2 is 2...