You can put this solution on YOUR website! Perpendicular to y=-2/5x-4 (red line)
and passes through (-3,-1)
THIS LINE HAS A SLOPE=-2/5.
ANY PERPENDICULAR LINE WILL HAVE A SLOPE=TO THE NEGATIVE RECIPRICAL, OR 5/2.
-1=5/2*-3+b
-1=-15/2+b
b=-1+15/2
b=-1+7.5
b=6.5 ans. for the Y intercept.
Y=5X/2+6.5 (green line) (graph 300x300 pixels, x from -6 to 5, y from -6 to 5, of TWO functions -2x/5 -4 and 5x/2 +6.5).