The equation in the image appears to be:

$4x + 2y + 2 = 0$

This is a linear equation in two variables, $x$ and $y$. We can solve for $y$ in terms of $x$ to express it in slope-intercept form.

Let's solve this step-by-step:

$4x + 2y + 2 = 0$

1. Subtract 2 from both sides:

$4x + 2y = -2$

2. Now, isolate $y$. First, subtract $4x$ from both sides:

$2y = -4x - 2$

3. Finally, divide through by 2:

$y = -2x - 1$

So, the equation of the line is $y = -2x - 1$. This is a straight line with a slope of $-2$ and a y-intercept of $-1$.

Would you like more details on this or have any other questions?

Here are 5 related questions you could explore:

1. How would the graph of $y = -2x - 1$ look like?
2. What are the intercepts of this line?
3. How can you find the distance between this line and a specific point?
4. What happens to the equation if you add or subtract terms on both sides?
5. How do you solve systems of linear equations involving this line?

Tip: When solving for one variable, isolating it step-by-step is key to finding the solution.