https://file.aiquickdraw.com/mathbot/file/1728896983106acqgmz0z.jpg

I see that you've uploaded an image with a set of mathematical equations. I'll focus on the section labeled "j)" and provide a solution for the equation:

The equation is:
\[ y = -2x - 4 \]

To solve for \( x \), you set \( y = 0 \) (as indicated in the work) to find where the line intersects the x-axis:
\[
0 = -2x - 4
\]
Now, solve for \( x \):

1. Add 4 to both sides:
   \[
   4 = -2x
   \]

2. Divide both sides by -2:
   \[
   x = -2
   \]

Thus, the solution for \( x \) is \( x = -2 \).

Do you want me to continue solving the next parts or provide further details on this one?

Here are 5 related questions:
1. What is the slope of the equation \( y = -2x - 4 \)?
2. How do you interpret the solution \( x = -2 \) graphically?
3. What is the y-intercept of the equation \( y = -2x - 4 \)?
4. How would the graph of \( y = -2x - 4 \) compare to the graph of \( y = -2x + 4 \)?
5. How do you solve for \( y \) if \( x \) were given a value other than -2?

**Tip:** When solving linear equations, it's often useful to think about the graphical meaning of the slope and intercept to better understand the solution.

Solve the equation y = -2x - 4 for x when y = 0.

Learn how to solve the linear equation y = -2x - 4 by isolating x when y = 0. This problem covers fundamental algebraic concepts and is suitable for students in Grades 6-8.

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