40.1: Drawing on the Coordinate Plane

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Lesson

Let's draw on the coordinate plane.

Exercise \(\PageIndex{1}\): Cat Pictures

Recreate this image in the applet by entering ordered pairs.

Figure \(\PageIndex{1}\): A cat drawn on a coordinate grid. Horizontal axis goes from negative 6 to 6, by 1s. The vertical axis goes from negative 6 to 6, by 1s. The outline of the cat is marked by the points negative 3 comma 4, negative 2 point 5 comma 1, negative 3 comma 0, negative 3 comma negative 3, negative 1 comma negative 5, 3 comma negative 5, 5 comma negative 3, 5 comma 0, 4 point 5 comma 1, 5 comma 4, 2 comma 2, 0 comma 2. An eye is marked by the points negative 0 point 5 comma 0, negative 1 comma negative point 5, negative point 5 comma negative 1, and 0 comma negative 0 point 5. Another eye is marked by the point 2 point 5 comma 0, 3 comma negative 0 point 5, 2 point 5 comma negative 1, 2 comma negative 0 point 5. The outline of the nose and mouth is marked by 0 point 5 comma negative 2, 1 point 5 comma negative 2, 1 comma negative 2 point 5, 1 comma negative 3, 0 comma negative 3, negative 1 comma 2 point 5, 2 comma negative 3 point 5, 3 comma negative 2 point 5.

If you have time, consider adding more details to your image such as whiskers, the inside of the ears, a bow, or a body.

Are you ready for more?

Add these statements to the list of things being graphed.

\(x>6\)

\(y>5\)

\(x<-4\)

\(y<-6\)

Describe the result. Why do you think that happened?

Exercise \(\PageIndex{2}\): Design Your Own Image

Create an image of your own design by listing the ordered pairs in the applet. You could draw a different animal, a vehicle, a building, or something else. Make sure your image includes at least 4 points in each quadrant of the coordinate plane.