Ask Question

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

+3
Answers (1)
  1. 7 July, 01:30
    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 the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers