what is the slope of the line y=3

Question

i need to know so that i can get caught up on my work. and stay oput of

Answer 1

Think of all lines in y = mx + b form.  So it's easier to think of y=3 as y = 0x + 3.  So the slope would be 0.

 

Another way to think about slope is the rise (change in y) over the run (change in x).  y=3 would be nothing more than a horizontal line through y=3.  So the rise is always 0 (it never goes up or down) and the run is always the distance from zero to any point on the line.  In other words, the slope would be 0/the change in x, which is always 0.