Answer:
The line m is not parallel to line n.
The line m is perpendicular to line k.
Step-by-step explanation:
The slope of a line can be calculated with the formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Choose any point of each line and calculate the slope of each one of them:
Line m:
[tex]m_{m}=\frac{3-(-4)}{-4-0}=-\frac{7}{4}[/tex]
Line n:
[tex]m_{n}=\frac{-2-2}{3-1}=-2[/tex]
Line k:
[tex]m_{k}=\frac{1-(-3)}{4-(-3)}=\frac{4}{7}[/tex]
The lines m and n are not parallel because their slopes are different.
The line m is perpendicular to line k because their slopes are opposite reciprocals.
