Question

Suppose Rm (3,-4)=(1,1) and Rn (1,1)=(-5,16) Is m || n? Explain.

Answer 1

To determine if the given pair of lines are parallel, we are to calculate first for their slopes through the equation,
                                        m = (y₂ - y₁) / (x₂ - x₁)
Rm (3, -4) and (1,1)
                                       m = (1 --4) / (1 - 3) = -5/2
Rn (1,1) and (-5,16)
                                       m = (16 - 1) / (-5 -1) = -5/2
Since the lines have the same slope, then they are parallel. The answer is true.