SOLUTION: Consider the line y = 3x - 7 Find the equation of the line that is perpendicular to this line and passes through the point (2,-6) Find the equation of the line that is pa

Algebra ->  Linear-equations -> SOLUTION: Consider the line y = 3x - 7 Find the equation of the line that is perpendicular to this line and passes through the point (2,-6) Find the equation of the line that is pa      Log On


   

Question 760934: Consider the line y = 3x - 7

Find the equation of the line that is perpendicular to this line and passes through the point (2,-6)
Find the equation of the line that is parallel to this line and passes through the point (2,-6)
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of the given line y+=+3x+-+7 is m=3
The slope of the perpendicular line is m%5B1%5D=-1%2Fm=-1%2F3
The equation of the line y-y%5B0%5D=m%28x-x%5B0%5D%29
Since line passes through the point (2,-6), substitute into the formula x%5B0%5D=2, y%5B0%5D=-6
y-%28-6%29=%28-1%2F3%29%28x-2%29
y%2B6=-%281%2F3%29x%2B2%2F3
y=-%281%2F3%29x-16%2F3 the equation of the line that is perpendicular to line y+=+3x+-+7
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The slope of the parallel line is m%5B2%5D=m=3
The equation of the line y-y%5B0%5D=m%28x-x%5B0%5D%29
Since line passes through the point (2,-6), substitute into the formula x%5B0%5D=2, y%5B0%5D=-6
y-%28-6%29=3%28x-2%29
y%2B6=3x-6
y=3x-12 the equation of the line that is parallel to line y+=+3x+-+7