Explain how the slope-intercept form of the equation of a line might make graphing the line easier than making a table of values. when might it not be easier? explain how the slope-intercept form of the equation of a line might make graphing the line easier than making a table of values. when might it not be easier?

Graphing a line is pretty easy however you do it.  If we start from slope intercept form y=mx+b, we immediately know (0,b) is on the line.  That's the y intercept.  From that point we can use the slope to plot the line.   A slope that's a fraction a/b means a units up for every b units to the right, so we can get the next point and connect the dots.

Making a table works well too.   We only need two points to draw a line between them.    

I guess the table might be easier when the slope is complicated, because then drawing a line at that slope might not be so easy.  It's pretty easy either way so I don't know.