Problem 4-2
4-2 A
4-2 A
Drag point B to manipulate lines. When moving point B is appears that the slopes of the parallel lines are the same no matter what.
4-2 B
4-2 B
Drag B to manipulate the slopes of the lines. As the slope for line AB gets bigger in magnitude (steeper) the slope of line C gets smaller in magnitude (flatter). They are also always the opposite signs. I inputed the value c (seen to the left) to be the value of the opposite reciprocal of n, the slope of line C, so c=-1/n. Since c and m are always the same no matter how the lines are moved then it can be said that the slope of perpendicular lines are opposite reciprocals of each other.