00:01
Greetings.
00:02
Our question asks us to consider a set of coordinates and determine whether lines connecting these coordinates are perpendicular, parallel, or neither.
00:16
It looks like there are three questions here.
00:20
Yeah, number 21, 22, and 23.
00:25
So i've set up some axes, and we'll start plotting.
00:32
So for number 21, 21, point a is at five.
00:36
Looks like maybe some typos here in the question, but it looks like the first coordinate is probably 5, comma, 3.
00:44
So we'll come over to 5, 1, 2, 3.
00:49
I'll put a point a there.
00:51
Let's actually make that a different color.
00:54
So 5 .3 will be blue, and that'll be a.
01:00
And then point b is at 8 .0.
01:06
I'm guessing, i think there's a one after the zero, but that's probably supposed to be a parentheses.
01:14
So we'll say eight zero.
01:16
So let's see, five, six, seven, eight, eight zero will be point b.
01:25
And then point x is at negative seven, two.
01:29
So negative seven, two, be right up there.
01:40
And that's x.
01:41
And then point y will be there's an apostrophe and 10 so i'm thinking perhaps the apostrophe was supposed to be one so what point why will be at 1 10 so 5, 6, 7, 9, 10 right up there that will be point y.
02:17
And then let's connect these points.
02:21
And from there to there, make it straight, and then align from b through a, and i'm going to adjust it.
02:32
And those do look like they are perpendicular.
02:35
You can see that they form a right angle.
02:38
So for 21, they are perpendicular.
02:41
Let's move on to 22.
02:43
I'll choose a different color here.
02:46
And the first point is a, and that is at n.
02:51
Negative 3, 9.
02:54
So, oh, let me fix my axes.
03:01
All right, so negative 3, so 1, 2, 3, and 9.
03:09
So 5, 6, 7, 8, 9.
03:14
That's going to be point a.
03:16
And then point b is at 0, 7.
03:24
So 07, that's b...