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The problem shown asks to rewrite the equation \( y = \frac{1}{4}x + 3 \) by solving for \( x \), and then it inquires about which feature of the line can be found using the rearranged equation.

Let's first solve for \( x \).

### Step 1: Start with the given equation:
\[
y = \frac{1}{4}x + 3
\]

### Step 2: Subtract 3 from both sides:
\[
y - 3 = \frac{1}{4}x
\]

### Step 3: Multiply both sides by 4 to isolate \( x \):
\[
4(y - 3) = x
\]

Thus, the rearranged equation is:
\[
x = 4(y - 3)
\]

### Interpretation:
In this form, \( x = 4(y - 3) \), the equation shows the relationship between \( x \) and \( y \) in terms of \( y \). From this, we can find **the x-intercept** more easily, as setting \( y = 0 \) will give us the value of \( x \) where the line crosses the x-axis.

Would you like a detailed explanation on the process of finding the x-intercept or any other feature of the line? Feel free to ask!

Here are five related questions to deepen understanding:

1. What is the slope of the line in the original equation?
2. How would you find the y-intercept from the original form of the equation?
3. How does changing the slope affect the graph of the line?
4. What happens to the x-intercept if the constant term in the original equation changes?
5. How would you rearrange the equation to express \( y \) in terms of \( x \) if it were initially given in terms of \( x \)?

**Tip**: The slope of a line can tell you how steep it is, while the intercepts give you key points where the line crosses the axes!

Rewrite y = 1/4x + 3, solving for x. What feature of the line can easily be found using the rearranged equation?

Learn how to solve the linear equation y = 1/4x + 3 for x, and discover how the rearranged equation helps find the x-intercept of the line. This algebraic problem is perfect for students in Grades 7-9, involving key concepts such as linear equations and graphing.

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