Problem 7 - Algebra 1: Concepts and Skills

Question

Graph the equation. $$ x=7 $$

Step-by-Step Solution

Answer

The graph of the equation \(x = 7\) is a vertical line that passes through any point with an x-coordinate of 7.

Step 1: Understanding the Equation

The given equation is \(x = 7\), there are no terms including \(y\). This indicates that the value of \(x\) is a constant, which is 7. Consequently, this should reflect a vertical line on the graph, where every point on that line has an \(x\)-coordinate of 7.

Step 2: Plotting the Line

Begin by drawing an xy-coordinate plane. To plot the equation, lay a straight edge vertically at \(x = 7\), and then draw the line that passes through this point. This line is the graph of the original equation.

Step 3: Checking your plot

To check if the plot of the line (\(x = 7\)) is correct, select any point on the line and check its coordinates. If the \(x\)-coordinate is 7 and \(y\)-coordinate can be any real number, this indicates that the plotting is correct.