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Chapter 1: Problem 15

Sketch a set of coordinate axes and then plot the point. $$ (3,-1) $$

Short Answer

Expert verified
First, draw the coordinate axes, forming a right angle at the origin (0, 0). Then, move 3 units to the right from the origin on the x-axis, and 1 unit downwards on the y-axis since the second coordinate is negative. Plot the point where the coordinates intersect and label it as (3, -1). Confirm that the point is correctly plotted 3 units to the right on the x-axis and 1 unit down on the y-axis.

Step by step solution

01

Draw the coordinate axes

Create the x and y-axes on a piece of paper or a graphic program, crossing each other at a right angle at the point (0, 0), known as the origin.
02

Locate the point on the x-axis

Search for the first number in the given point (3, -1), which refers to the x-coordinate. This means, move 3 units to the right from the origin on the x-axis.
03

Locate the point on the y-axis

Now identify the second number in the given point, which refers to the y-coordinate. The point given is (3, -1), which means from the position on the x-axis where we stopped previously, move down 1 unit as it is negative.
04

Plot the point

Mark the point (3, -1) where the x-coordinate and y-coordinate intersect. Label this point as (3, -1) on your coordinate plane.
05

Review the plotted point

Verify that the point (3, -1) is properly plotted on the plane with coordinates 3 units to the right along the x-axis and 1 unit downward along the y-axis.

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