Ask Question
7 April, 03:40

3x-2y=13 2x+3y=-16 are these lines parallell or perpendicular or neither

+5
Answers (1)
  1. 7 April, 05:19
    0
    3x - 2y = 13

    -2y = - 3x + 13

    y = 3/2x - 13/2 ... slope is 3/2, y int is - 13/2

    2x + 3y = - 16

    3y = - 2x - 16

    y = - 2/3x - 16/3 ... slope = - 2/3, y int is - 16/3

    perpendicular lines will have negative reciprocal slopes. To find the negative reciprocal of a number, flip the number and change the sign.

    On the 1st equation, the slope was 3/2 ... find its negative reciprocal ... flip it, making it 2/3 ... change the sign ... making it - 2/3. So the negative reciprocal of 3/2 is - 2/3.

    So if one equation has a slope of 3/2 and another equation has a slope of - 2/3, then these lines are perpendicular <==
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “3x-2y=13 2x+3y=-16 are these lines parallell or perpendicular or neither ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers