The given equation of the line is:

$y = -7$

This represents a horizontal line at $y = -7$. A line parallel to it must also be horizontal, meaning it will have the same form:

$y = c$

Since the new line passes through the point $(7,5)$, its equation is:

$y = 5$

Final Answer:

$y = 5$

Would you like a detailed explanation on why parallel horizontal lines have the same form?

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Here are five related questions to explore further:

1. What is the equation of a line perpendicular to $y = -7$ passing through $(7,5)$?
2. How do you find the equation of a line parallel to a given vertical line?
3. How do you determine the slope of a horizontal and vertical line?
4. Can a horizontal line ever be written in point-slope form?
5. How do you find the distance between two parallel horizontal lines?

Tip: The slope of a horizontal line is always zero because it does not rise or fall as $x$ changes.