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Consider the line 6x-2y=1. What is the slope of a line parallel to this line?

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Final answer:

The slope of a line parallel to the line 6x - 2y = 1 is 3, because parallel lines have the same slope.

Step-by-step explanation:

To solve the mathematical problem completely and find the slope of a line parallel to the given line 6x - 2y = 1, we first need to convert this equation into slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

By rearranging the equation, we get 2y = 6x - 1 and then y = 3x - 0.5.

Thus, the slope of the original line is 3.

Since parallel lines have the same slope, a line parallel to this one will also have a slope of 3.

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