Question 123737
Y=mX+b IS THE STANDARD LINE FORMULA. m=SLOPE & b=Y INTERCEPT.
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Y=X+5  (RED LINE)
THROUGH (3,2)
2=3+b
b=2-3
b=-1 SO THIS LINE EQUATION IS:
Y=X-1. THIS IS THE PARALLEL LINE  (GREEN LINE)
{{{ graph( 300, 200, -6, 5, -10, 10, y = x +5, y = x -1) }}} (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = x +5 and y = x -1).
THE PERPENDICULAR LINE HAS THE EQUATION WITH A SLOPE OF -1 & PASSING THROUGH (3,2).
2=-1*3+b
2=-3+b
b=2+3
b=5 
Y=-X+5(GREEN LINE)
{{{ graph( 300, 200, -6, 5, -10, 10, y = x +5, y = -x +5) }}} (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = x +5 and y = -x +5).