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The problem is asking for the equation of a line that is parallel to the given line and passes through the point (-2, -4).

### Step 1: Find the slope of the given line
To write the equation of a parallel line, we need to find the slope of the given line. From the graph, we can determine two points on the line, for example:  
- (0, 0)  
- (2, 2)

Using the slope formula, \( m = \frac{{y_2 - y_1}}{{x_2 - x_1}} \):
\[
m = \frac{{2 - 0}}{{2 - 0}} = \frac{2}{2} = 1
\]
So, the slope \( m = 1 \).

### Step 2: Use point-slope form
Now that we know the slope of the parallel line is also \( m = 1 \), we use the point-slope form of a line, which is:
\[
y - y_1 = m(x - x_1)
\]
We substitute the point (-2, -4) and the slope \( m = 1 \):
\[
y - (-4) = 1(x - (-2))
\]
Simplifying:
\[
y + 4 = 1(x + 2)
\]
\[
y + 4 = x + 2
\]
\[
y = x + 2 - 4
\]
\[
y = x - 2
\]

### Final Answer:
The equation of the line that is parallel to the given line and passes through the point (-2, -4) is:
\[
y = x - 2
\]

Would you like further details or have any questions? Here are five related questions for more practice:

1. How would the equation change if the point given was (1, 3)?
2. What is the equation of a line perpendicular to the given line passing through (-2, -4)?
3. How do you determine if two lines are parallel using their slopes?
4. Can a line passing through (-2, -4) ever intersect the given line? Why or why not?
5. How can you graph a line given its equation in slope-intercept form?

**Tip:** To identify parallel lines, always check that their slopes are the same.

Which of the following linear equations is a line that passes through the point (-2, -4) and is parallel to the given line?

Find the equation of a line parallel to a given line that passes through the point (-2, -4). This problem involves calculating slopes and using the point-slope form to derive the equation. Ideal for students in Grades 8-10.

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