SOLUTION: Given the line y = 3x – 2 and the point (2, -4), find the equations of the lines parallel and perpendicular to the line above.

Algebra ->  Coordinate-system -> SOLUTION: Given the line y = 3x – 2 and the point (2, -4), find the equations of the lines parallel and perpendicular to the line above.      Log On


   

Question 323463: Given the line y = 3x – 2 and the point (2, -4), find the equations of the lines parallel and perpendicular to the line above.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
y = 3x – 2
+graph%28+200%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+3x+-2%29+ (graph 200x200 pixels, x from -10 to 10, y from -10 to 10, 3x -2).
(2, -4) & parallel to the above line.
Y=mX+b
-4=3*2+b
-4=6+b
b=-4-6
b=10
Y=3X+10 ans. for the parallel line. (red line).
-4=-1/3*3+b
-4=-1+b
b=-4+1
b=-3
Y=-X/3-3 ans. for the perpendicular line (green line).
+graph%28+200%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+3x+%2B10%2C+-x%2F3+-3%29+ (graph 200x200 pixels, x from -10 to 10, y from -10 to 10, of TWO functions 3x +10 and -x/3 -3).