X-intercept solutions to a linear equation

[hexed nimbus]

I understand that when n = n', we get the X intercept. But I'm confused how this can happen at any value other than 0 since n'/[L] has to = 0 right? If I did 1-1, I would get 0 on one side of the equation, but 1/[L] on the other side. Am I making some algebraic mistake here? Thank you!

[hexed nimbus]

Also why is the slope -1/Kd instead of 1/Kd

[safe parrot]

May I ask what is the context of the image?

Also, the slope is negative, because the line is going down as ñ is going to the right.

In a Cartesian plane, the slope of a line is given by m = (Y_A - Y_B) / (X_A - X_B);
If the function representing the line is increasing when X_A < X_B, then Y_A < Y_B;
If the function is decreasing when X_A < X_B => Y_A > Y_B; (Y changes sign)

This results into a negative sign in m = (Y_A - Y_B) / (X_A - X_B);

[hexed nimbus]

Thank you for your response, this is the context to graph
https://en.wikipedia.org/wiki/Scatchard_equation

I just dont understand how it's able to have any intercepts shown in the picture at all since the equation should only have one at 0,0 right

Actually, it seems like I was confusing the x axis for n instead of ñ

still, its difficult for me to interpret, can you give any explanation?

how can ñ = n on one side, and not make ñ/[L] a number greater than 0

[safe parrot]

I reevaluated your first question. I was mistook it for another thing.
Anyway, here is the idea: you want to know why when n=ñ, ñ/[L] gives a different result than n-ñ / K_d = 0;
well, n=ñ happenes ONLY when ñ/[L] = 0, in other words, the equality is available ONLY when ñ=0 (0/[L] = 0-0 /K_d)

It doesn't apply to any ñ value, because the x-intercept value is tied to the relation f(x) = 0; If one works, the other one will too; If one fails, the other one will follow;

[hexed nimbus]

sorry for being slow to understand your response, but lets say with this example, the X intercept is estimated to be at ñ=100
if n = 100, then n-ñ = 0, but ñ/[L] equals 100/[L] not 0, which is why i'm confused
likewise if ñ = 0, how is there a value > 0 for ñ/[L] at the y intercept

[safe parrot]

I understand your point. This is biology based which makes the problem even harder because of the notation; To explain you, I have to first understand for myself.
The best i cand do now is help you with an AI solution, but only if you want.
I realised what this all is, but I can't explain it further. Sorry

[hexed nimbus]

ah, that is ok

thank you so much for your help regardless

🙏

[safe parrot]

As an idea, it all comes down to you extract data from the graph, and the smalles mistake in the algrebra can get to the wrong answer

[safe parrot]

I'm just sorry i could'n help you figure it out

[hexed nimbus]

no it is ok, thank you again for responding

.close