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Chapter 1: Problem 64

Explain how to graph an equation in the rectangular coordinate system.

Short Answer

Expert verified
To graph an equation in the rectangular coordinate system, set up the equation, create a table of values by substituting x values into the equation to find the corresponding y values, plot these points in the coordinate system, and finally, draw the graph representing the equation.

Step by step solution

01

Understand the equation

Make sure you understand the equation that you want to graph. Let's consider an example of equation y = 2x -1.
02

Create a table of values

Make a table of values to help plot the equation on the graph. Choose a few values for x and find the corresponding y values. The y value is found by substituting the x value into the equation.
03

Plot the points on the graph

Once you have some (x, y) pairs from the table of values, plot those points in the rectangular coordinate system appropriately. Remember, each pair represents coordinates in the system, where x is the horizontal position and y is the vertical position.
04

Draw the graph

Based on the points plotted, draw a line or curve that best fits the given points. This line or curve represents the equation y = 2x -1 in the rectangular coordinate system.

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