Consider the statement "Two lines in a coordinate plane are parallel if and only if the slopes of the lines are m and m, where m is any real number." Is this statement true or false? Explain your reasoning.(2 points)
This statement is false.
Two lines in a coordinate plane are parallel if and only if their slopes are equal, not just any real number. The statement incorrectly assumes that any real number can be used as the slope of parallel lines. However, the slopes of parallel lines must be identical in order for the lines to be parallel. Thus, the statement is false.