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Mathematics 10 Online
crispyrat:

math pls help @AZ

crispyrat:

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AZ:

Can you imagine the two squares? https://www.desmos.com/calculator/ljg2auupri

crispyrat:

squares? do you mean lines or am i missing something xp

AZ:

The squares https://www.desmos.com/calculator/ihu4mz5dpw The points A and B lie on either the edge of the squares or inside the square

AZ:

To have the greatest slope, we need to make a line that would be steep so if Point A is (0, 0) and Point B is is (5, 3) then you can see that line isn't as steep as A being (0, 0) and B is (4, 3) but what if is A is (2, 2) and B is (4, 3)

AZ:

Like do you understand what I'm trying to say / able to see what I'm describing

crispyrat:

I kind of understan d that it has to be steep? but what would ge the steepest

AZ:

but what if is A is (2, 0) and B is (4, 3) *** not (2, 2)

AZ:

you would get the steepest when you're at the bottom right of the first square and then the top left of the other square

AZ:

and you can just check the few points that I gave above and calculate the slopes to convince yourself

crispyrat:

oh ok but may i ask why is that the case?

crispyrat:

whats the logic behind it ?

crispyrat:

(2,0) (5,2) (2-0)/(5-2)=2/3<--is that the slope?

crispyrat:

oh wait top left (2,0)(4,3) 3-0)/(4-2)-->3/2

AZ:

@crispyrat wrote:
oh wait top left (2,0)(4,3) 3-0)/(4-2)-->3/2
Yup

AZ:

I don't know if there's some sort of logic to it. I just looked at the image and saw which different combinations of the edge points would give a line that is steep Like imagine the line between (0, 2) and (5, 2) that's a straight 0 slope

AZ:

but you want something as close to vertical so that way it's a larger slope

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