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Chapter 1: Problem 3

Plot the given point in a rectangular coordinate system. $$(-2,3)$$

Short Answer

Expert verified
The point \(-2,3\) is left of the y-axis and above the x-axis on the rectangular coordinate system.

Step by step solution

01

Identify the coordinates

Take the coordinates given by the problem, which are \(-2\) and \(3\). The first number, \(-2\), is the x-coordinate, and the second number, \(3\), is the y-coordinate.
02

Plot the point

Start at the origin of the graph (where the x and y axis intersect). Move along the x-axis to the point \(-2\) (since our x-coordinate is negative, we go left from the origin). From here, move parallel to the y-axis upwards to reach at point \(3\) (since our y-coordinate is positive, we go upwards from point \(-2\)).
03

Mark the point

The point \(-2,3\) is reached. This is the final location, mark it on your graph.

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Most popular questions from this chapter

Solve each quadratic inequality in Exercises \(1-28\) and graph the solution set on a real number line. Express each solution set in interval notation. $$ \left|x^{2}+6 x+1\right|>8 $$

Solve each rational inequality in Exercises \(29-48,\) and graph the solution set on a real number line. Express each solution set in interval notation. $$ \frac{x}{x-3}>0 $$

In Exercises \(29-44,\) perform the indicated operations and write the result in standard form. $$\sqrt{-64}-\sqrt{-25}$$

In Exercises \(9-20,\) find each product and write the result in standard form. $$(2+7 i)(2-7 i)$$

Solve each rational inequality in Exercises \(29-48,\) and graph the solution set on a real number line. Express each solution set in interval notation. $$ \frac{x^{2}-x-2}{x^{2}-4 x+3}>0 $$
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