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Question 1017914: Can someone please explain to me what a slope actually is? Is it a value? Is it the y-value? if so why the y-value?
I know it's defined like m = (y2-y1)/(x2-x1) but that doesn't make sense to me. Why the change in y's and the changes in x's? I don't get it. And why are they being divided? what does division do to them? Why does subtracting the y or x values give us their overall change? Is y the change in height and x the change in length? Or should I think of it like vertical distance / horizontal distance?
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, I think? like a gradual increase or decrease?
This is such a confuses concept for me. How can slope be a value? like how does that even work?
Thank you
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! Can someone please explain to me what a slope actually is? Is it a value? Is it the y-value? if so why the y-value?
I know it's defined like m = (y2-y1)/(x2-x1) but that doesn't make sense to me. Why the change in y's and the changes in x's? I don't get it. And why are they being divided? what does division do to them? Why does subtracting the y or x values give us their overall change? Is y the change in height and x the change in length? Or should I think of it like vertical distance / horizontal distance?
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, I think? like a gradual increase or decrease?
This is such a confuses concept for me. How can slope be a value? like how does that even work?
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Or should I think of it like vertical distance / horizontal distance?
That's what it is. It's the vertical change divided by the horizontal change.
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This is such a confuses concept for me. How can slope be a value? like how does that even work?
eg, the vertical change is 1 foot.
The horizontal is 10 feet.
slope = 1/10
What's wrong with that being a value?
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Slope is an indication of "steepness."
If a road changes in elevation by 5' in 100' horizontal, it's not as steep as a road that change 10' V in 100' H.
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The slope of a ski jump is greater than the "bunny hills."
Answer by ikleyn(52781)  (Show Source):
You can put this solution on YOUR website! .
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
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