SOLUTION: consider the line y=5/6x-4 Find the equation of the line that is perpendicular to this line and passes through the point (5,6) Find the equation of the line that is parallel to t

Algebra ->  Linear-equations -> SOLUTION: consider the line y=5/6x-4 Find the equation of the line that is perpendicular to this line and passes through the point (5,6) Find the equation of the line that is parallel to t      Log On


   

Question 1155195: consider the line y=5/6x-4
Find the equation of the line that is perpendicular to this line and passes through the point (5,6)
Find the equation of the line that is parallel to this line and passes through the point (5,6)
equation of perpendicular line:
equation of parallel line:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi  

line y=5/6x-4  m = 5/6

line that is perpendicular to this linehighlight_green%28+m+=+-6%2F5%29 and passes through (5,6)

***Using point-slope form, y+-+y%5B1%5D+=+highlight_green%28m%29%28x+-+x%5B1%5D%29

y - 6 = (-6/5)(x-5)

y-6 = (-6/5)x + 6

 y = (-6/5)x + 12   Green Line

line that is parallel to this linehighlight_green%28+m+=+6%2F5%29 and passes through (5,6)

y - 6 = (5/6)(x-5)

y = (5/6)x-25/6 + 36/6 

y = (5/6)x  + 11/6  Blue Line