Question

Given A (3,4), B (4,10), C (-9,1), D (-7,13), determine whether lines AB and CD are parallel, perpendicular or neither

Answer 1

Answer:

parallel

Step-by-step explanation:

A (3,4), B (4,10)

$Slope of AB = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\ =\frac{10-4}{4-3}\\\\ =\frac{6}{1}\\\\ = 6$

C (-9,1), D (-7,13)

$Slope of CD = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\ =\frac{13-1}{-7-[-9]}\\\\ =\frac{12}{-7+9}\\\\ = \frac{12}{2}\\\\ = 6$

Slope of AB = Slope CD = 6

If two lines have same slope, they are parallel lines