Example plotting corners of rectangle

The four corners of a rectangle are located at the points (11, 7), (11, 0), (2, 0), and (2, 7). Plot the four corners of the rectangle on the coordinate plane below, and they have these dots, and we can actually move these around for the four corners of our rectangle.

So, let's look at this first point (11, 7). Where will that go? Well, let's just remind ourselves that the first coordinate here, that is our x-coordinate, tells us how far we move in the x-direction or how far do we move to the right.

So our x-coordinate is 11. We can say we can start at the origin and move 11 to the right. Then our y-coordinate is 7, which says, "Hey, we need to move seven up from there." So, 1, 2, 3, 4, 5, 6, 7.

Notice: 11, that's if you were to just drop a line straight down, you would hit the x-axis at 11. And the y-coordinate, if you were to take a horizontal line, if you were to go straight to the left, you get to y = 7. So this is the point (11, 7).

All right, let's do the next one. Then you have (11, 0). So, let me take this point right over here. The x-coordinate was once again 11, but the y-coordinate is zero, which means we don't move up at all in the y-direction.

One way to think about it: start at the origin, you move 11 to the right, and you move zero up. So this is going to sit on the x-axis, right over there: (11, 0).

All right, then we have (2, 0). So x-coordinate is 2, and we don't move up at all. So we're going to sit on the x-axis. We move 2 to the right and zero up, or you could think of it zero up and two to the right.

Then we have (2, 7). So the x-coordinate is 2, but then we want to move 7 up to get right over there. You can see the corners of a rectangle right over here.

Then they ask us, what is the height of the rectangle? Well, let's see. If we're going from y = 0 to y = 7, the height is 7. You can even count it: 1, 2, 3, 4, 5, 6, 7.

So the height of the rectangle is seven. And then, of course, I can check my answer, and I got it right.