y=3x-4 what are the points on a line?

Question

Im trying to figure out the points on the graph if i have the equation y=3x-4

Answer 1

y=3x-4 is the slope-intercept form of the equation of a line.  It is in the form y=mx+b.

     m is the slope (often called "rise over run") and b is the y-intercept (the point where x=0).

The y-intercept is the point (0,-4).

 

We need one other point.  This is where finding easy calculations pays off.  How about where x=2, y=(3)(2)-4 = 2.

That's the point (2,2).

 

Two points determine a line, so we could have found any two points on the line.  These seemed very easy to me.