# Thread: Equation of a line

1. ## Equation of a line

Find the equation of the line through (2,-1) parallel to the line 3x + y = 7

This section has got me all confused, What I got tried to do was:

3x = 7 + y
x = 7/3 + y/3

y - 1 = 7/3 (x-2)
3(y - 1) = 7 (x-2)
3y - 3 = 7x - 14
-7x + 3y = -14 + 3
7x - 3y = 14 - 3
7x - 3y = 11

3x + y = 5 is the right answer I just don't what what the hell is going wrong, probably got it all messed up.

2. $y=-3x+7$. The slope of this line is -3.

Then the equation of the line parallel to it is

$y+1=-3(x-2)$