SOLUTION: Write the equation of the line which passes through (0, -4) and is parallel to the line 3x - y = 6.

Algebra ->  Linear-equations -> SOLUTION: Write the equation of the line which passes through (0, -4) and is parallel to the line 3x - y = 6.      Log On


   

Question 484158: Write the equation of the line which passes through (0, -4) and is parallel to the line 3x - y = 6.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
3 x -1 y = 6
Find the slope of this line
make y the subject
-1 y = -3 x + 6
Divide by -1
y = 3 x -6
Compare this equation with y=mx+b
slope m = 3 0.8
The slope of a line parallel to the above line will be the same
The slope of the required line will be 3
m= 3 ,point ( 0 , -4 )
Find b by plugging the values of m & the point in
y=mx+b
-4 = 0.00 + b
b= -4
m= 3
Plug value of the slope and b in y = mx +b
The required equation is y = 3 x -4
y = 3 x -4
m.ananth@hotmail.ca