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Example 4.3 from Elementary Algebra, 4.1 Use the Rectangular Coordinate System

Use the Rectangular Coordinate System: example 4.3

Name the ordered pair of each point shown in the rectangular coordinate system.

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 6 to 6. The points (4, 0), (negative 2, 0), (0, 0), (0, 2), and (0, negative 3) are plotted and labeled A, B, C, D, and E, respectively.

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

1
Solution
Point A is above $−3$ on the x-axis, so the x-coordinate of the point is $−3$ .
- The point is to the left of 3 on the y-axis, so the y-coordinate of the point is 3.
- The coordinates of the point are $(−3, 3)$ .
Point B is below $−1$ on the x-axis, so the x-coordinate of the point is $−1$ .
- The point is to the left of $−3$ on the y-axis, so the y-coordinate of the point is $−3$ .
- The coordinates of the point are $(−1, −3)$ .
Point C is above 2 on the x-axis, so the x-coordinate of the point is 2.
- The point is to the right of 4 on the y-axis, so the y-coordinate of the point is 4.
- The coordinates of the point are $(2, 4)$ .
Point D is below 4 on the x-axis, so the x-coordinate of the point is 4.
- The point is to the right of $−4$ on the y-axis, so the y-coordinate of the point is $−4 .$
- The coordinates of the point are $(4, −4)$ .
Point E is on the y-axis at $y = −2$ . The coordinates of point E are $(0, −2) .$

Point F is on the x-axis at $x = 3$ . The coordinates of point F are $(3, 0) .$

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Name the ordered pair of each point shown in the rectangular coordinate system.

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 6 to 6. The points (4, 0), (negative 2, 0), (0, 0), (0, 2), and (0, negative 3) are plotted and labeled A, B, C, D, and E, respectively.

How did it go?

PreviousUse the Rectangular Coordinate System: example 4.2 Next Use the Rectangular Coordinate System: example 4.4

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 4.1, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.