Question 78146
x+2y=8
2y=-x+8
y=-x/2+8/2
y=-x/2+4 THUS THIS LINE HAS A SLOPE OF(m)=(-1/2)
THUS A PERPENDICULAR LINE HAS A SLOPE OF +2.
NOW REPLACE THE X & Y TERMS WITH 1 & -6 & SOLVE FOR THE Y INTERCEPT(b)
Y=mX+b
-6=2*1+b
-6=2+b
b=-6-2
b=-8 THE Y INTERCEPT. THUS THE EQUATION IS:
Y=2X-8 
the red line is the original line & the green line is the perpendicular line.
{{{ graph( 300, 300, -10, 10, -10, 10, y = -x/2 +4, y = 2x -8) }}} (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions y = -x/2 +4 and y = 2x -8).