Answer: C. Lines m and n have the same slope so they are parallel.
Step-by-step explanation:
We know that the the slope(m) of a line passing through points (a,b) and (c,d) is [tex]p=\frac{d-b}{c-a}[/tex]
Thus, the slope of line m passes through the points (4, 1) and (7, 3) will be
[tex]m_1=\frac{3-1}{7-4}=\frac{2}{3}[/tex]
The slope of line n passes through the points (-3, 5) and (-9, 1) will be
[tex]m_2=\frac{1-5}{-9-(-3)}=\frac{-4}{-6}=\frac{2}{3}\\\Rightarrow\ m_2=\frac{2}{3}=m_1[/tex]
Therefore, Lines m and n have the same slope and if slopes of two lines are same then they are parallel.
Hence, Lines m and n have the same slope so they are parallel.
