Question

Find an equation of the line that satisfies the given conditions.

Through (1, −2); parallel to the line x + 2y = 6

Answer 1

@anikhalder

Answer 2

@anikhalder you got this

Answer 3

first let's find the slope of the given line..let's first convert it to y=mx + c form...m is the slope of the given line..let's first find that out

Answer 4

y=mx+b

Answer 5

I like that idea

Answer 6

go ahead @anikhalder

Answer 7

what will be the equation in y=mx+b form @Stacy13

Answer 8

got it

Answer 9

cool..but if we have to find a line perpendicular then we have to just interchange the coefficients of x and y with a -ve sign or something like that i presume?...for the trick
but the long method is cool to get correct answer
@Loser66

Answer 10

@anikhalder to perpendicular line, we can turn it to // by convert the slope to -1/m, and then apply the trick, why not? right?

Answer 11

yes..we can definitely do that...that's the lengthier process but suppose we are given an eqn 3x+4y=6...we have to find a line perp to this: then cant we do it something like 4x-3y=c ?

Answer 12

hehehe, anyway, I am cheating, sorry for that. You are 100% right, perfectly correct. Students shouldn't cheat. hehehe. My bad.

Answer 13

@Loser66 ..please tell me whether this method works for perp lines..the one i said..i'm not sure

Answer 14

okay...thanks

Answer 15

that's not cheating...it's just that you are applying a general form that you have valid proof to account for..it's like using the formula to solve a quad eqn instead of factorizing it...but i think as you said...we should only apply the trick that you used when we are pretty sure of the longer method

Answer 16

thnks

Answer 17

thanks to you....and not to me..:)