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The phrase "a downward slope" is correct and usable in written English.
It can be used to describe a physical incline or metaphorically to indicate a decline in a situation or condition.
Example: "The trail leads down a downward slope, making it easier for hikers to descend quickly."
Alternatives: "a declining gradient" or "a descending incline".
Exact(60)
It is the beginning of a downward slope.
Globally, we have simply not made enough progress to put emissions on a downward slope.
But if you mapped excitement against familiarity, you'd get a downward slope.
They are just two points on a downward slope of dehumanization.
"But I don't know whether we're on a downward slope or on a flat playing field.
Alternatively, look for a steep hill – ideally with a downward slope immediately before it.
In the past, turnout has also been on a downward slope in gubernatorial elections.
Merlot, destiny's tot in the early 90's, has been on a downward slope since 1997.
Cooler air and a downward slope indicate that you are now below the cliff's edge.
Conserve momentum: instead of coasting on a downward slope, maintain steady engine revs.
This is the moment [in British art] of the most struggle – everything seems on a downward slope.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com