Question 221112
(8,-2)
8x+5y=6
5y=-8x+6
y=-8x/5+6/5 this line has a slope=-8/5. (red line)
Therefore any perpendicular line will have a slope=5/8.
Y=mX+b
-2=5/8*8+b
-2=40/8+b
-2=5+b
b=-2-5
b=-7 the y intercept.
y=5x/8-7 (green line).
{{{ graph( 300, 300, -10, 10, -10, 10, -8x/5 +6/5 , 5x/8 -7) }}} (graph 300x300 7pixels, x from -10 to 10, y from -10 to 10, of TWO functions -x/5 +6/5 and 5x/8 -7).