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Chapter 1: Problem 20

Sketch a set of coordinate axes and then plot the point. $$ (1.2,-3.4) $$

Short Answer

Expert verified
Draw the coordinate axes and label them as x and y. Move 1.2 units to the right on the x-axis and 3.4 units downward on the y-axis. Plot the point at this location and label it as \( (1.2, -3.4) \). Verify that the point is in the 4th quadrant.

Step by step solution

01

Draw coordinate axes

Draw a set of coordinate axes with an x-axis (horizontal) and a y-axis (vertical). Label the x-axis and the y-axis.
02

Locate the x-coordinate

The x-coordinate is 1.2. Starting from the origin, move 1.2 units to the right along the x-axis, since the value is positive.
03

Locate the y-coordinate

The y-coordinate is -3.4. Starting from the point on the x-axis that we found in Step 2, move 3.4 units downwards along the y-axis, since the value is negative.
04

Plot the point

Place a point at the intersection of the x-coordinate and y-coordinate we found in Steps 2 and 3. Label the point as (1.2, -3.4).
05

Verify the location of the point

Make sure the point is in the correct quadrant of the coordinate plane. Since the x-coordinate is positive and the y-coordinate is negative, the point should be in the 4th quadrant.

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