Why does m=slope?

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Why does m=slope?

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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y = mx + b , great question
it depends on what you mean by slope. in math we define slope as rise over run, like when you draw a line on a plane, the slope is the "rise" or change in y divided by the "run" or change in x
Because Jesus says so? I think that's a much simpler perspective.

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this is because in the x y plane, traditionally x refers to horizontal movement, and y refers to vertical movement. so change in y over change in x gives us the "rise over run" which we previously defined as slope
so all you have to show is that m is change in y over change in x, and i will let you do that

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