Ask
your own question, for FREE!
Mathematics
38 Online
what is the equation for a line perpendicular to the line 3x+2y=6 passing through (1,-2)
Still Need Help?
Join the QuestionCove community and study together with friends!
A perpedicular line to L has a gradient equal to the negative reciprocal of that of L. L:3x+2y-6=0 => N:2x-3y+c=0 Plugging in (1,-2) as a point on N we get 2+6+c=0 +>c=-8 N:2x-3y=8
Write 3x + 2y = 6 in standard form........... y = mx + c 2y = -3x + 6 then devide both sides by 2 y= -3/2x + 3.........................(i) mi = -3/2 but m of perpendicular line is - reciprocal of mi, thus 2/3 so y = 2/3x + c to get c we substitute values of 1,-2) in the equation -2 = 2/3(1) + c c = -2 - 2/3............... =-5/3 substituting -5/3 with,we have y = 2/3x +(-5/3) y = 2/3x - 5/3 as the equation of perpendicular line.
Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!
Join our real-time social learning platform and learn together with your friends!
Join our real-time social learning platform and learn together with your friends!
Latest Questions
forgetmylife:
Only the real understand ud83eudd26ud83cudffdu2642ufe0f I'm tired. Tired of the constancy, the constancy of judgment.
rishavraj:
Just trying to find a friend. We met on openstudy, her nickname on there was something "tarantula".
Subshilava:
Which sentence follows correct grammatical conventions? ) u2022 The crow in that bush squawk loudly at the hawks.
9 hours ago
2 Replies
1 Medal
33 minutes ago
4 Replies
0 Medals
1 day ago
4 Replies
3 Medals