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Can someone please explain to me what a slope actually is?
Is it a value? Yes
Is it the y-value? Not applicable
if so why the y-value? Not applicable
I know it's defined like m = (y2-y1)/(x2-x1) correct; good
but that doesn't make sense to me. bad
Why the change in y's and the changes in x's? by the definition
I don't get it. bad
And why are they being divided? by the definition
what does division do to them? It produces the value of the slope
Why does subtracting the y or x values give us their overall change? It is obvious
Is y the change in height and x the change in length? You may interpret it like this
Or should I think of it like vertical distance / horizontal distance? You may interpret it like this, too
I think I understand parts of slope, like slope
can be thought of like an angle and at what angle
it is shows how much it rises or falls over a certain region, It is close, but the slope is not an angle. It is the tangent of the angle
I think? like a gradual increase or decrease? It is correct
This is such a confuses concept for me. It is so clear
How can slope be a value? By the definition
like how does that even work? Imagine the plot of a distance as the function of time. Then the slope is the average speed.
Thank you Please