Error Analysis - Systems of Equations + How to graph equations.

Many times while doing systems of equations people have common errors in their calculation.

Example :
Equation : Y= 2x+4
Y= 5x-1

Many people make this mistake. When graphing we must consider three things of the Y= MX+B equation.
B is the vertical shift in which we shift the parent graph to our equation. If B were 4 we are to shift up 4. In which the person doing this graph only shifted up 3. That is the mistake. To completely graph the equation Y=2x + 4. First we must go up 4 on the y axis. Then due to the slope being 2. We must follow the slope rule, Rise over run, Therefore we go up 2 and over 1.

And for the second equation the same rule applies.  Y= 5X-1. The graph would shift down one. Then it would strech due to the slope being 5/1. Remember that slope is rise over run. Therefore you go up 5 and over one to get your second point after shifting down 1.