Use AB←→ and CD←→ to answer the question. AB←→ contains the points A(2,1) and B(3,4). CD←→ contains the points C(−2,−1) and D(1,−2). Is AB←→ perpendicular to CD←→? Why or why not?

alesterp 2021-03-02 Answered
Use AB←→ and CD←→ to answer the question. AB←→ contains the points A(2,1) and B(3,4). CD←→ contains the points C(−2,−1) and D(1,−2). Is AB←→ perpendicular to CD←→? Why or why not?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Faiza Fuller
Answered 2021-03-03 Author has 108 answers

ABand CD are perpendicular if their slopes are negative reciprocals so we use the slope formula to find their respective slopes:
m=y2y1x2x1
The slope of AB is: mAB=4132=31=3
The slope of CD is: mCD=2(1)1(2)=13=(13)
The slopes are negative reciprocals so AB and CD are perpendicular.

Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

New questions