SOLUTION: Find the equations of the lines that pass through the point (2,8) and are parallel to and perpendicular to the line with equation y+7x=6

Algebra ->  Linear-equations -> SOLUTION: Find the equations of the lines that pass through the point (2,8) and are parallel to and perpendicular to the line with equation y+7x=6      Log On


   

Question 121096:
Find the equations of the lines that pass through the point (2,8) and are parallel to and perpendicular to the line with equation y+7x=6
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
Y+7X=6 OR Y=-7X+6 THIS EQUATION HAS A SLOPE=-7
FIRST WE FIND THE PARALLEL LINE:
8=2*-7+b
8=-14+b
b=8+14
b=22 THUS THIS PARALLEL LINE HAS THE EQUATION:
Y=-7X+22
THE PERPENDICULAR LINE HAS A SLOPE=1/7
8=2/7+b
b=8-2/7
b=(56-2)/7
b=54/7 THUS THIS PERPENDICULAR LINE EQUATION IS:
Y=X/7+54/7