Question

Choose 5 ordered pairs whose first and second coordinate are equal. Plot these points and connect them. What kind of figure do you get? In what quadrants does the figure lie?

Answer 1

Here are 5 ordered pairs whose first and second coordinates are equal:

(2,2)

(3,3)

(4,4)

(5,5)

(6,6)

If we plot these points and connect them, we get a straight line that runs from the bottom left to the top right of the coordinate plane. This line is called the "diagonal" of the coordinate plane and it divides the plane into 4 quadrants.

The figure that we get lies in all 4 quadrants of the coordinate plane. The top right and bottom left quadrants are the "positive" quadrants, where both the x- and y-coordinates are positive. The top left and bottom right quadrants are the "negative" quadrants, where both the x- and y-coordinates are negative.