Example of shapes on a coordinate plane

So we're told here the four corners of a rectangle are located at the points (1, 1), (1, 6), (9, 6), and (9, 1). Plot the four corners of the rectangle on the coordinate plane below, and they gave us these four points. We can move them around with our mouse or our finger, depending on what type of computer we are using.

Let's just go point by point and plot the green points at those points. The first one is (1, 1), and remember, the first coordinate is our x-coordinate, and the second coordinate is our y-coordinate. So, the first coordinate tells us how far we move to the right of the origin. So it's one, and then the second coordinate, the y-coordinate, tells us how far to move up from the origin. So that's also a one. (1, 1)

The next point is (1, 6). The x-coordinate is one, so we move one to the right of the origin. Then the y-coordinate is six, so we move six up. Notice it's at the intersection of the line, or it's at the intersection of when y equals 6 and x equals 1. This is (1, 6).

All right, now we have (9, 6). So let's see if we take our… if we have x equal to 9 right over there, and y is equal to 6, so we'd go up six. Notice y is now equal to six.

And we have one last point to plot: (9, 1). So when x is 9, y is 1. We go 9 to the right, and we're right above x equal to 9, and then we go up one. This is (9, 1).

And there you have it! We have the four corners of our rectangle. Then they say, "What is the height of the rectangle?"

Well, if you imagine a rectangle right over here, the height would be the distance between that point and this point or the distance between that point and that point. So what is the distance between these points? Let's see, they both have the same x-coordinate. This one is at y equal to 6, and this is at y equal to 1. So this is five higher than this one. Therefore, the height is five, and we could also count it. You could see 1, 2, 3, 4, 5.