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A number have people have replied and I think they are all correct, but I want to be explicit.

Given a function y = mx+b. Graphically, the function is a line on the xy plane, and if you trace your finger along the line toward the y axis, where your finger “intercepts” the y axis is the value of the y intercept.

That’s the idea of the name.

And everyone else is also correct, Its value is f(0) where y = f(x) = mx + b.





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