Find the value of m so that the lines with equations −3y+2x=4 and mx+2y=3 are perpendicular

themediamafia73 2022-09-12 Answered
Find the value of m so that the lines with equations −3y+2x=4 and mx+2y=3 are perpendicular
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

Answers (1)

Griffin Dean
Answered 2022-09-13 Author has 13 answers
Put both equations into the form y=mx+c
- 3 y + 2 x = 4
3 y = 2 x - 4
y = 2 3 x - 4 3
For the 2nd eqn:
m x + 2 y = 3
2 y = 3 - m x
y = - m 2 x - 3 2
If the lines are perpendicular the product of their gradients = -1
So - m 2 × 2 3 = - 1
m=3
Did you like this example?
Subscribe for all access

Expert Community at Your Service

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