give me one example linear function solving with graphing with let x=0  4x-2

Let's solve the linear function \( 4x - 2 = 0 \) by graphing.

### Step 1: Rearrange the equation
The equation of the line can be written as:
\[
4x - 2 = 0
\]
Simplify it:
\[
4x = 2
\]
Divide both sides by 4:
\[
x = \frac{2}{4} = 0.5
\]

So, the solution is \( x = 0.5 \). 

### Step 2: Graph the equation \( y = 4x - 2 \)
1. **Find the y-intercept** (Let \( x = 0 \)):
\[
y = 4(0) - 2 = -2
\]
So, the y-intercept is \( (0, -2) \).

2. **Find another point** (Let \( x = 1 \)):
\[
y = 4(1) - 2 = 2
\]
So, the point \( (1, 2) \) is on the line.

### Step 3: Plot the points and draw the line
- Plot the points \( (0, -2) \) and \( (1, 2) \).
- Draw a straight line through these points.

The graph should show the line passing through \( x = 0.5 \), which is where \( y = 0 \). This confirms that the solution to the equation \( 4x - 2 = 0 \) is \( x = 0.5 \).

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Do you have any questions about this? 

### Related Questions:
1. How do you determine the slope of a linear function from an equation?
2. What is the significance of the y-intercept in a linear equation?
3. Can you explain how to solve a linear equation algebraically?
4. How do you find the x-intercept of a linear equation?
5. What are the steps to graph a linear equation if given in slope-intercept form?

**Tip:** When graphing a linear equation, always start by plotting the y-intercept and then use the slope to find other points.

Learn how to solve the linear equation 4x - 2 by graphing. This guide provides a step-by-step explanation of plotting points and drawing the line. Understand key concepts like slope, y-intercept, and solving for x. Suitable for students in Grades 6-8.

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