https://file.aiquickdraw.com/mathbot/file/1730223461074hp7y6i0b.jpg

From the given graph and statements, let’s analyze each option:

1. **The y-intercept of the red line is moved down**: The red line crosses the y-axis above zero, so it does not appear to have moved down.

2. **The slope of the red line is steeper**: This is not true because the black line has a much steeper slope than the red line.

3. **The slope of the red line is less steep**: This statement is **true** because the red line has a smaller slope (is less steep) than the black line.

4. **The y-intercept of the red line is moved up**: The red line starts above the origin, so this could indicate a positive y-intercept.

5. **The slope of the red line is the same**: This is not true because the red and black lines have different slopes.

6. **The y-intercept of the red line is the same**: This is false, as the red and black lines have different y-intercepts.

### Conclusion
The correct answer is:

- **The slope of the red line is less steep**

Would you like more details or have any questions?

### Related Questions
1. How can we determine the slope of a line from a graph?
2. How do we find the y-intercept of a line?
3. What does it mean for a line to be "steeper" in mathematical terms?
4. How does changing the slope affect a line's angle?
5. How does the y-intercept affect where a line crosses the y-axis?

### Tip
Remember, the slope indicates the "steepness" of a line, while the y-intercept shows where it crosses the y-axis.

Select all of the true statements about the graph. Options include: whether the y-intercept of the red line is moved up or down, and comparisons of the slope between the red and black lines.

Explore how to compare slopes and y-intercepts between two linear equations on a graph. This problem emphasizes key algebraic concepts like steepness and intercepts, suitable for students in Grades 8-10.

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