The given equation is:

\[
2x + y = 7
\]

This is a linear equation in two variables, \(x\) and \(y\).

### Solving for \(y\):
We can isolate \(y\) on one side of the equation by subtracting \(2x\) from both sides:

\[
y = 7 - 2x
\]

Now, \(y\) is expressed in terms of \(x\).

### Graphical Interpretation:
This is the equation of a straight line in slope-intercept form \(y = mx + b\), where:
- \(m = -2\) is the slope, indicating the line is sloping downwards.
- \(b = 7\) is the y-intercept, meaning the line crosses the y-axis at \(y = 7\).

Do you have any further questions or would you like more details on graphing or solving?

Here are 5 related questions to consider:
1. What is the slope of the line, and what does it represent?
2. How do you find the x-intercept of this line?
3. Can you determine the point where this line crosses the x-axis?
4. How do we graph the equation step by step?
5. Can we rewrite this equation in standard form?

**Tip:** Always check whether a line is increasing or decreasing by examining the sign of its slope.

Discover how to solve the linear equation 2x + y = 7 by rearranging it into slope-intercept form y = mx + b. This problem explores key algebraic concepts such as the slope of the line (-2) and the y-intercept (7). Suitable for students in Grades 6-8, this tutorial provides step-by-step guidance.

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