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The image shows a question on slopes of lines in a coordinate plane, focusing on lines \( e \) and \( f \), with slope values of \( -1 \) and \( 1 \). The question asks which of the provided statements is true.

Let's break it down:

1. **Line slopes**:
   - Line \( e \) is decreasing from left to right, meaning its slope is negative, specifically \( -1 \).
   - Line \( f \) is increasing from left to right, meaning its slope is positive, specifically \( 1 \).

2. **Evaluating the answer options**:

   - **Option 1**: "Lines \( e \) and \( f \) have the same steepness, so it makes sense that their slopes are the same distance from 0 on a number line."  
     - This is true because the absolute value of both slopes is 1, so both lines have the same steepness.
  
   - **Option 2**: "Line \( e \) has a slope of \( -1 \) because it is going down from left to right, which means line \( f \) has a slope of \( 1 \)."  
     - This is correct as well. The direction of the lines corresponds to their slopes.

   - **Option 3**: "Line \( e \) has a slope of \( -1 \) because it is the most steep, which means line \( f \) has a slope of 1."  
     - This is incorrect because both lines have the same steepness (slope magnitude of 1), so line \( e \) is not steeper than line \( f \).

   - **Option 4**: "Two of these are true."  
     - This is correct because both Option 1 and Option 2 are true.

### Correct Answer:
The correct selection is **Option 4** ("Two of these are true") because both the first and second statements are valid.

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Would you like further details on this or have any questions? Here are five related questions to deepen your understanding:

1. How is slope calculated for a line on a coordinate plane?
2. What does it mean if two lines have the same steepness but different slopes?
3. How do you determine whether a slope is positive or negative?
4. What is the relationship between perpendicular lines and their slopes?
5. How can you visually identify the slope of a line from a graph?

**Tip**: The slope of a line is essentially its steepness and direction. Positive slopes rise to the right, and negative slopes fall to the right.

The slopes of the lines shown are -1 and 1. Which statement is true?

Explore the concepts of line slopes in coordinate geometry through a detailed problem analysis. Learn about slope calculations and compare different line characteristics. Suitable for students in Grades 8-10.

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