Ah, the good ole' pentatonic minor scale. Wouldn't be where we are without it...at least as far as most kinds of music that is. Especially, well, the blues, rock, jazz, just about all western music to some extent. I think it's safe to say it's the most used (or overused ?) chord when guitarists solo.
Some people use the minor pentatonic and blues scale terms interchangeable. However, they're not exactly the same.
The blues scale has an added note, sometimes referred to as the 'blue note'. So the scale formula for a blues scale is...1 b3 4 b5 5 b7. Therefore, a blues scale in C Major would be...C Eb F Gb G Bb.
The minor pentatonic has the formula of...1 b3 4 5 b7. Notice in the minor pentatonic scale we have (5), as in 'penta', like the Pentagon, (5) notes ? In the blues scale there are (6) notes. The difference, again, being the addition of the 'blue note' in the blues scale. So the formula for a C minor Pentatonic scale would be...1 b3 4 5 b7. Just the (5) notes.
Here's the fingerings for the minor pentatonic scale in the key of E, since this is a more popular guitar key. These fingerings, of course, can be transposed to any key.
The root notes (E) are the red dots with the yellow dot added, the other red dots are the additional tones of the minor pentatonic scale.
If you wished to transpose this scale into the key of A, another very popular guitar key, the red dots with the yellow dots would all fall on A notes (root).