Problem 72 - Algebra and Trigonometry

Question

Will help you prepare for the material covered in the next section. Graph: \(y=3\)

Step-by-Step Solution

Answer

The graph represents a horizontal line that intercepts the y axis at the point (0, 3).

Step 1: Understanding the Equation

First, it's important to understand the equation provided: \(y=3\). This is a simple linear equation, and it represents a line in a two-dimensional plane, where y will always be equal to 3. In other words, no matter what x coordinate you have, the corresponding y coordinate will always be 3. Thus, this equation represents a horizontal line.

Step 2: Setting up the Graph

Next, prepare a two-dimensional plane for plotting the graph. This will require a horizontal x-axis and a vertical y-axis. Each unit of the x-axis and y-axis should be of the same length.

Step 3: Drawing the Line

Now, to graph the line \(y=3\), find the point where y is equal to 3 on the y-axis, then draw a straight horizontal line through this point. This line represents all the points where the y-coordinate is 3, regardless of the x-coordinate.