Final answer:
The student's statement regarding the slope of a line parallel to another line is incorrect. The correct slope of a line parallel to a given line can be determined by rearranging the equation and identifying the slope. In this case, the correct slope is -1/2.
Step-by-step explanation:
The student's statement that a line parallel to the line 1/2x + 5y = 14 has slope m = 2 is incorrect. The correct slope of a line parallel to the given line can be obtained by rearranging the equation into slope-intercept form, y = mx + b, where m represents the slope. The slope of the given line is -1/2, therefore the slope of a line parallel to it is also -1/2.
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