I have two interrelated (and inter-cultural) questions.
1- How does one say slope-intercept (form) in German (although the question might also be placed in the German language StackExchange, I think math is the right venue as it is related to mathematics terminology)?
2- Is there a difference between the American convention of the representation of slope-intercept formula (y=mx+b) and the German way of writing that formula?
Thank you very much in advance.
In German the equation $y=mx+b$ is called "Geradengleichung mit Steigung $m$". A reference here is wikipedia, see "Haupt-oder Normalform".
Edit: The Japanese version of Wikipedia gives 直線の傾き・切片標準形 (slope–intercept form), $y=mx+b$, for interested readers.