SOLUTION: find the standard form for the equation of the line which passes through the point (-1,-2) and is parallel to the line that has the equation of 6x +2y = 4

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Question 1011363: find the standard form for the equation of the line which passes through the point (-1,-2) and is parallel to the line that has the equation of 6x +2y = 4

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
Equations of parallel lines are just alike except for the constant term,

So any line parallel to the line that has the equation

6x + 2y = 4

has the equation

6x + 2y = k, where k is some constant other than 4.

Since the line goes through the point (-1,-2) we substitute

-1 for x and -2 for y

6(-1) + 2(-2) = k
       -6 - 4 = k
          -10 = k

So we substitute -10 that for k and get

6x + 2y = -10

If you like you can divide it through by 2

3x + y = -5

Edwin

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