In this problem, we are asked to select two true statements about the graph, which consists of two lines: a red line and a black line.

Analyzing the statements:

1. The slope of the red line is steeper - This is incorrect. The red line has a less steep slope compared to the black line.
2. The y-intercept of the red line is the same - This is incorrect. The red line has a different y-intercept from the black line.
3. The y-intercept of the red line is moved up - This is incorrect. The red line has a lower y-intercept than the black line.
4. The slope of the red line is the same - This is correct. Both lines are parallel, meaning they have the same slope.
5. The slope of the red line is less steep - This is incorrect, as both lines are equally steep (same slope).
6. The y-intercept of the red line is moved down - This is correct. The red line’s y-intercept is below the black line's y-intercept.

Correct Answers:

• The slope of the red line is the same
• The y-intercept of the red line is moved down

Would you like further details on how to analyze slopes and intercepts?

Here are some additional questions for further practice:

1. How do you determine the slope of a line from a graph?
2. What does the y-intercept of a line represent?
3. How can you verify if two lines are parallel by looking at their slopes?
4. What does it mean if two lines have different y-intercepts but the same slope?
5. How can the steepness of a line be compared without using its equation?

Tip: For parallel lines, always check both their slopes and y-intercepts to determine their relative positions.