Looking at the site you linked and clicking on each fret to change the pattern, there are actually only 5 (not 9) completely different distinct patterns that repeat. Several are exactly the same notes and some show a slight variation on the same basic "pattern". Allow me to expand on some of the other answers.
The basic patterns for the minor pentatonic scales are depicted in the excellent answer by empty. They change depending on the starting position. If you learn the five patterns then you can play a minor pentatonic scale in any key from any position on the fretboard and they all overlap and repeat as you move down the fretboard.
The CAGED system referred to in the answer by Yorik is a method for more easily understanding and visualizing the five patterns for the major scales. The CAGED system is based on the common open position chord voicings for major chords - which with a capo or barre can be moved up the neck to different keys.
There are 5 basic open position chord shapes that are commonly played on guitar. These are the C chord shape, the A chord shape, the G chord shape, the E chord shape and the D chord shape. The B chord shape in first position is the A chord shape moved up two frets with a barre so it's not a sixth shape. The F chord shape is the E chord shape played as a barre chord on the first fret so it's not a different shape either.
The patterns for the major scales are based on these 5 chord shapes moved up the neck. As you move the root farther up the neck towards the bridge the patterns change in the order of C A G E and D.
To help you see this in your mind let's take a C major chord in first position played like this:
All the notes in this chord will be found in the C major pentatonic scale in position 1 with the nut serving as the zero fret and the pattern would look like this:
Note the orientation of the picture differs from the chord chart but the red indicates the fretted strings for a basic open C chord. The open strings are part of the pattern as well and would be played as a fretted note if you move this pattern up the neck to make it a C# or D or etc. pentatonic scale.
Now visualize putting a capo on the 3rd fret (or barre with your first finger) and playing an A Shaped chord like this one:
With the capo on the 3rd fret this would be a C chord in a different position on the neck and would constitute a different pattern that would look like this:
To visualize the next position for the next pattern in the C A G E D system we put a capo on the 5th fret and play a G like this:
But with the capo on the 5th fret it will be a C and form the outline (including the capoed notes) of the third pattern.
Move the capo up 3 more frets to the eighth fret (or use a first finger barre) and play an E chord like this.
This "E" chord shape played with capo on the eighth fret will again be a C chord and the notes fretted for this chord including the ones barred by the capo or your finger will form the basic outline of the next pattern for the C major pentatonic scale.
The final pattern is based on the D chord that looks like this.
With a capo on the tenth fret this D shaped chord will again play a C chord and form the outline of the final pattern in the CAGED system.
Regardless of which key you play a major pentatonic scale in, the patterns will change in CAGED order. No matter what position you start in, the next position will be in the prescribed order relative to the starting position and the C A G E D C A G E D order. For example if you start in the position that corresponds to the G and if you move towards the headstock the next position will be A and if you move towards the bridge the next position will be E - (C A <G> E D).
The minor pentatonic patterns are similarly based around an open chord formation of a minor chord.
In the chart posted in the answer by empty, position one is based on a basic E minor chord formation. The second position is based on the basic common D minor chord. Position three is based on a less common version of the C minor chord that is played like this:
Position four is based on the common Am shape (which same shape is used with a barre to play Bm and Cm). Position five is based on a less common (vs the Em shaped 3rd fret barre chord) open G minor formation (pictured below) that starts with a basic open G major chord and shifts the B (third of G major) by one fret to make it Bb thus making the G major a G minor.
By visualizing the 5 different major or minor chord shapes at different positions on the neck, you can easily find many of the notes in a major or minor pentatonic scale in whatever key you are playing them in. And once you learn where the non chord tone notes hit for each pattern, you will be all set.
So you only need to learn the 5 major chord shapes (C A G E and D) and the five patterns based on them and do the same with the minor chord shapes and patterns and then practice starting with the C based pattern and moving up to the A based pattern and then the G and so on all the way through D and back. Repeat the process for the minor patterns. Incorporate playing through these into your regular practice routine.
Eventually it will become second nature. But it will take intentional, deliberate, consistent and dedicated practice.
Enjoy the journey.