Final answer:
The raising and lowering operators in quantum mechanics change the magnetic quantum number m by one unit; the raising operator increases m by 1 and the lowering operator decreases m by 1.
Step-by-step explanation:
The raising and lowering operators in physics pertain to the quantum mechanical concept where these operators can change the value of the magnetic quantum number (m) by one unit. The statement is completed as follows: 'The raising and lowering operators change the value of m by one unit, where the raising operator (L+) increases m by 1, and the lowering operator (L-) decreases m by 1.' These operators are important in quantum mechanics as they are used to describe the angular momentum of a particle in an atom.
It's important to note that the description of m as the slope applies to the context of mathematics and its use in describing a line on a graph. The statement given, however, relates to the magnetic quantum number in the context of quantum mechanics in physics.