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.