The equation you provided is:

\[
\frac{1}{3}x + y = 4
\]

Let's solve for \( y \) in terms of \( x \):

1. Subtract \(\frac{1}{3}x\) from both sides:

\[
y = 4 - \frac{1}{3}x
\]

This is the equation of a straight line in slope-intercept form \(y = mx + b\), where:
- \(m = -\frac{1}{3}\) is the slope,
- \(b = 4\) is the y-intercept.

Would you like to see the graph of this equation, or any additional details?

Here are 5 related questions you can explore:
1. How would the graph change if the slope were steeper or shallower?
2. What is the x-intercept of this line?
3. Can we rewrite this equation in standard form \(Ax + By = C\)?
4. What is the slope of a line perpendicular to this one?
5. How would adding a constant to \(y\) shift the graph vertically?

**Tip:** When solving for a variable, try to isolate it on one side by performing inverse operations on both sides of the equation.

This tutorial explains how to solve the linear equation 1/3x + y = 4 and convert it into slope-intercept form. Explore key algebraic concepts like the slope and y-intercept, and learn how the equation can be represented on a graph. Suitable for students in Grades 8-10.

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