Final answer:
It is false that two scatter plots must be completely identical in appearance even though they share the same trend line; this only indicates that their linear relationships are the same.
Step-by-step explanation:
If two scatter plots both have a positive trend and have exactly the same trend line, it is true that both trend lines slope upwards as you move from left to right (A), both trend lines have the same y-intercept (B), and both trend lines have the same equation (C). However, it is false that the scatter plots must be completely identical in appearance (D). While the trend lines may be identical, indicating that the overall direction and angle of increase are the same, the individual data points in each scatter plot can be different.
For a trend line, the slope represents the rate at which the y-values are changing per unit of x (either increasing or decreasing), and the y-intercept indicates where the line crosses the y-axis. When two scatter plots have identical trend lines, it simply means that the linear relationship between the x and y variables is the same, not that the plots themselves are identical.