How to Find y intercept and x intercept of a Linear Equation

[@jan-willemreens9010]

... Good day, More mathematically exact: the x-intercept of (5/3, 0) is 5/3 and the y-intercept of (0, 5) is just 5, so the x- and y-intercepts of a coordinate pair (two-tuple) are just [ (x-intercept, 0) and (0, y-intercept) ] numbers! Thank you ...

[@GlassofNumbers]

openstax.org/books/elementary-algebra-2e/pages/4-3-graph-with-intercepts#:~:text=x%2D%20intercept%20and%20y%2D%20intercept,line%20crosses%20the%20y%2D%20axis.

[@jan-willemreens9010]

@@GlassofNumbers ... So, what openstax claims is that there is no distinction between intercepts and intersections; I learned an intercept is just a coordinate (x or y, as in (x,0) or (0,y)) of an intersection and an intersection is a real point (n-tuple); in this case (x,0) and (0,y)! This is the distinction I learned in the Netherlands, and possibly differently interpreted elsewhere ...

[@GlassofNumbers]

@@jan-willemreens9010 I think many textbooks are using this definition. But I also have seen some textbooks using the definition you use.