Answer
$y=5/3*x+13/3$
Work Step by Step
has the point $(-2,1)$, perpendicular to $3x+5y=4$
$3x+5y=4$
$3x+5y-3x=4-3x$
$5y=-3x+4$
$5y/5=(-3x+4)/5$
$y= -3/5*x+4/5$
Perpendicular lines have slopes whose product is $-1$
$-3/5* x=-1$
$-3/5*x*-5/3=-1*-5/3$
$x = 5/3$
$y=mx+b$
$y=5/3*x+b$
$1=5/3*-2+b$
$1=-10/3+b$
$1+10/3=-10/3+b+10/3$
$13/3=b$
$y=mx+b$
$y=5/3*x+13/3$