<image>Given that A and B represent the numbers \( a \) and \( b \) on the number line.

(1) Fill in the table by referring to the number line:
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(2) Try to express the distance between points A and B using a formula involving \( a \) and \( b \);
(3) Can you explain the significance of \( |3+6| \) on the number line?
(4) If point P represents the number \( x \), where on the number line will the value of \( |x+3| + |x-4| \) be minimized? What is the minimum value?