https://file.aiquickdraw.com/mathbot/file/172602778180865nu8ffr.jpg

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.

Learn how to solve the linear equation 4x + 2y + 2 = 0 and express it in slope-intercept form. This step-by-step solution covers key algebraic operations, ideal for students in Grades 8-10.

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