No one mentioned the use of splinesteps, but here is how to smooth your curves.
#!/usr/bin/perl
use warnings;
use strict;
use Tk;
my $mw = tkinit;
$mw->geometry("600x400+100+100");
my $canvas = $mw->Canvas(-width => 600, -height => 400,
-bg => 'black')->pack();
my $line5 = $canvas->createLine(400,0,500,150,
-fill => 'pink',
-width => 5,
);
my $line6 = $canvas->createLine(0,200,100,350,0,300,350,200,
-width => 5,
-smooth => 1,
-fill => 'lightgreen');
my $line7 = $canvas->createLine(300,200,500,350,0,300,350,200,
-width => 5,
-smooth => 1,
-splinesteps => 20,
-fill => 'purple');
MainLoop;
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