Graph the equation.

16 minus 4 x equals 016−4x=0

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Part 1

Use the graphing tool to graph the equation.




To graph the equation \(16 - 4x = 0\), let's first simplify and rewrite it in a more recognizable form.

### Step 1: Simplify the equation

Start by solving for \(x\):

\[
16 - 4x = 0
\]

Subtract 16 from both sides:

\[
-4x = -16
\]

Divide both sides by \(-4\):

\[
x = 4
\]

### Step 2: Interpret the equation

The equation \(x = 4\) represents a vertical line that crosses the x-axis at \(x = 4\). For any vertical line, the x-coordinate remains constant while the y-coordinate can be any value.

### Step 3: Graph the equation

To graph \(x = 4\):
- Draw a vertical line through the point where \(x = 4\).
- This line will be parallel to the y-axis.

The graph will look like a straight vertical line crossing the x-axis at the point \((4, 0)\).

Would you like a detailed explanation or help with another part of the problem?

Here are 5 related questions to explore:
1. How do you graph a horizontal line?
2. What is the equation of a line parallel to \(x = 4\) but passing through \(x = -2\)?
3. How would you describe the graph of \(y = 4\) compared to \(x = 4\)?
4. What would the graph look like if the equation was \(4x = 16\)?
5. How can you find the intersection point of the line \(x = 4\) with another linear equation?

**Tip:** Vertical lines have equations of the form \(x = \text{constant}\), and they are parallel to the y-axis. Horizontal lines, on the other hand, have equations of the form \(y = \text{constant}\), and they are parallel to the x-axis.

Learn how to graph the equation 16 - 4x = 0 step-by-step with detailed instructions. This problem involves solving a linear equation and understanding graphing techniques for linear equations. Suitable for students in Grades 6-8.

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