SOLUTION: Write the equation of the line perpendicular to 3y -x = 2 and passing through (9, -10)

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Question 1092827: Write the equation of the line perpendicular to 3y -x = 2 and passing through (9, -10)
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
Write the equation of the line perpendicular to and passing through (, ):
the equation of the line is: where is a slope and is y-intercept
if given , first find a slope

->
the line perpendicular to given line must have a slope equal to negative reciprocal of , and it is
so far your equation is


to find use given point (, )




and of the line perpendicular to is:

or






Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Write the equation of the line perpendicular to 3y -x = 2 and passing through (9, -10)
To obtain the equation of a line that's perpendicular to another, we do the following: 

1) Put GIVEN equation in STANDARD form

2) Switch coefficients on variables, and change the constant to z

3) Negate y

4) Substitute GIVEN point to determine z

These steps should lead you to the required equation:  

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