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Chapter 2: Problem 96

Explain how to graph the equation \(x=2 .\) Can this equation be expressed in slope-intercept form? Explain.

Short Answer

Expert verified
The equation x=2 is a vertical line on a graph at x=2. It can't be represented in slope-intercept form because it has no slope, making 'm' in the slope-intercept form non-existent.

Step by step solution

01

Understanding the given equation

The given equation is x=2, which represents a vertical line on a graph with all x-coordinates equal to 2. That means regardless of the value of y, x is always equal to 2.
02

Graphing the equation

To graph this, firstly, plot the graph and draw a vertical line at x=2. Since x is constant, this line will not slope but stay vertical.
03

Converting to slope-intercept form

One of the properties of a vertical line is that it has an undefined slope. The slope-intercept form's main components are slope (m) and y-intercept (b). In the case of a vertical line, a slope doesn't exist, so it can't be expressed in slope-intercept form.

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