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.