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Chapter 1: Problem 13

Sketch a set of coordinate axes and then plot the point. $$ (-2,5) $$

Short Answer

Expert verified
Draw the coordinate axes with a horizontal x-axis and a vertical y-axis. Locate the position of -2 on the x-axis and 5 on the y-axis. From x=-2, move up 5 units, and from y=5, move left 2 units. The intersection of these movements is the point (-2, 5), which should be marked and labeled on the coordinate plane.

Step by step solution

01

Draw the coordinate axes

First, draw a horizontal line representing the x-axis and a vertical line representing the y-axis. Label the point where the lines intersect as the origin, which has coordinates (0, 0).
02

Locate the x-coordinate

Find the position of -2 on the x-axis. Since it is a negative value, you will move to the left of the origin. Count 2 units to the left from the origin and mark that point on the x-axis.
03

Locate the y-coordinate

Now find the position of 5 on the y-axis. Since it is a positive value, you will move up from the origin. Count 5 units up from the origin and mark that point on the y-axis.
04

Plot the point

From the position x=-2 on the x-axis, move vertically up 5 units (the position of the y-coordinate). From the position y=5 on the y-axis, move horizontally left 2 units (the position of the x-coordinate). The point where these two movements intersect is the point (-2, 5). Mark the intersection with a point and label it with the coordinates (-2, 5).

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