lorbryan10 lorbryan10
  • 10-11-2020
  • Mathematics
contestada

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

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devishri1977
devishri1977 devishri1977
  • 10-11-2020

Answer:

parallel

Step-by-step explanation:

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

[tex]Slope of AB = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\ =\frac{10-4}{4-3}\\\\ =\frac{6}{1}\\\\ = 6[/tex]

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

[tex]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[/tex]

Slope of AB = Slope CD = 6

If two lines have same slope, they are parallel lines

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