Question 258462
(-2,7) 
2x-5y=3
5Y=-2X+3
Y=-2X/5+3/5 (RED LINE)
SLOPE=-2/5 
THE PERPENDICULAR LINE WILL HAVE A SLOPE=5/2 OR 2.5
7=2.5*-2+b
7=-5+b
b=7+5
b=12 the Y intercept.
Y=2.5X+12 (GREEN LINE)
{{{ graph( 300, 300, -10, 14, -10, 14, -2x/5 +3/5 , 2.5x +12) }}} (graph 300x300 pixels, x from -10 to 14, y from -10 to 14, of TWO functions -2x/5 +3/5 and 2.5x +12).