Question 151049
5x+2y=14
2y=-5x+14
y=-5x/2+14/2
y=-5x/2+7 (red line) with a slope=-5/2
the perpendicular line has a slope of 2/5 through (1,-3)
Y=mX+b
-3=2/5*1+b
-3=2/5+b
b=-3-2/5
b=(-13-2)/5
b=-15/5
b=-3 for the y intercept for this line with a slope=2/5 
y=2x/5-3 (green line)
{{{ graph( 300, 300, -6, 8, -6, 8, -5x/2 +7, 2x/5 -3) }}} (graph 300x300 pixels, x from -6 to 8, y from -6 to 8, of TWO functions -5x/2 +7 and 2x/5 -3).