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

Respuesta :

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

Answer Link

Otras preguntas

Which of the following is a solution of y - x < -3? A. (6,2) B. (2,6) C. (2,-1) Thanks
What are these numbers
Evaluate. 12!/12! A.) 0 B.) 1 C.) 12
The water cycle, photosynthesis, nutrient cycling, and soil formation are examples of: A.) regulating services. B.) provisioning services. C.) cultural services
Which are components of integumentary system. Check all that apply
HELP ASAP! GIVING BRAINLIEST Which choice defines the value of the things you have to give up when making a decision? A) Opportunity cost B) Patience C) Econom
A solution was prepared by mixing 50.0 g MgSO4 and 1000.0 mL water at 25.0°C. The density of the water at this temperature is 0.997 g/mL. What is the percent
What is the correct answer for questions 4,5, and 6?
Does the audience give a response to the “I have a dream” speech?
Can someone help please