The equation given is:

\[
4x + y = 2
\]

This is a linear equation in two variables, \( x \) and \( y \). To solve it, we need additional information, such as another equation if we're looking for specific values of \( x \) and \( y \), or we can express one variable in terms of the other.

### Solving for \( y \) in terms of \( x \):

1. Isolate \( y \) on one side:
   \[
   y = 2 - 4x
   \]

This result represents the line defined by the equation \( 4x + y = 2 \) in slope-intercept form, where the slope is \(-4\) and the y-intercept is \(2\).

Would you like further details on this, or do you have any additional questions?

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1. How do we graph \(4x + y = 2\)?
2. How do we find the slope and y-intercept from this form?
3. How can we find a specific solution if given a value for \(x\)?
4. How would we solve this equation if paired with another equation (system of equations)?
5. How can we convert this form into standard form or slope-intercept form?

**Tip:** Linear equations with two variables represent lines on a coordinate plane.

Learn how to solve and graph the linear equation 4x + y = 2, including how to express it in slope-intercept form, identify the slope and y-intercept, and analyze its line representation. This solution is suitable for students in Grades 7-9 covering key algebra concepts.

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