Let say in x,y dimension if a line cross over the x-axis instead of y (as shown in image above, unlike y=mx+c ) then how equation will change or will the equation has any impact apart from the x-intercept in this case? Is this a valid case?

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Abbigail Vaughn · Accepted Answer

One way to write an equation of an arbitrary line in the   x  ,  y plane is  A  x  +  B  y  +  C  =  0.If   A  =  0 you get a line parallel to the   x axis; if   B  =  0 you get a line parallel to the   y axis.If you set   A  =  m  ,,   B  =  −  1  ,, and   C  =  b then the equation   A  x  +  B  y  +  C  =  0 describes the same line as   y  =  m  x  +  b  ..But people often are interested in the equation   y  =  m  x  +  b for reasons other than the shape it describes in a plane. We may have some quantity we can either control or observe taking different values, which we&#039;ll represent by the name   x, and some other quantity, which we&#039;ll call   y, whose value has some relationship to the value of   x  .The relationship   y  =  m  x  +  b is one of the simplest possible kinds of relationship that can occur under these circumstances. And it happens also to be possible to visualize a relationship like this by plotting a line on a graph.A vertical line can not be the plot of such a relationship, because the first thing we wanted to see was a variety of different values of   x, and the vertical line has only one   x value. The fact that   y  =  m  x  +  b cannot describe a vertical line therefore is irrelevant to the study of these kinds of relationship.

phepafalowl · Accepted Answer

I think if the line is parallel to y - axis (as shown by the image you have attached). Then the slope of that line will not be defined because tan90 is not define .If only slope is not define then the question of repsenting that in slope -intercept form doesn&#039;t make any sense.

Let say in x,y dimension if a line cross over the x-axis instead of y (as shown in image above, unlike y=mx+c ) then how equation will change or will the equation has any impact apart from the x-intercept in this case? Is this a valid case?

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