Could you walk me step by step in a clear way about slopes?

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Could you walk me step by step in a clear way about slopes?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Slope is a rate
rate is change of Y over change of x
meaning by how much will y change if you increase x by 1 or by 3

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Other answers:

slope is the rate of change in y with respect to x. It is the limit of the difference quotient and goemetrically is the slope of the tangent line at a given point.

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