Select the system of equations that corresponds to the given graph.
4x + 2y = 12
4x + 2y = 4
2x + 3y = 4
6x + 9y = 12
2x + 4y = 12
2x + y = 3
2x + 3y = 8
−x + y = −4

Question

Select the system of equations that corresponds to the given graph.
4x + 2y = 12
      4x + 2y = 4 
 2x + 3y = 4
      6x + 9y = 12 
 2x + 4y = 12
      2x + y = 3 
 2x + 3y = 8
      −x + y = −4

anonymous · Answer

attachment

anonymous · Answer

this is quite long. you have to rearrange every equation to the form y = ax + c

anonymous · Answer

2x + y = 3 represents one of the functions

anonymous · Answer

You can simply figure this out by just finding the slope that is on the chart. The slope is 
-2/1

anonymous · Answer

the value of c must be equal to the intersection point of the graphs.

anonymous · Answer

because of that 2x + y = 3, with c = 3 represents the graph further to the right

anonymous · Answer

Which two equation gives you a slope of $$-\frac{2}{1}$$

anonymous · Answer

By looking at the graph, you can tell the lines are parallel and parallel lines have the same slope. Also the way the lines on the chart goes down tell us it is going to be a negative slope because it is going from left to right downward. Find the two equation that has a $$ -\frac{2}{1} $$ slope and that is your answer.

anonymous · Answer

Also $$ -\frac{2}{1} = -2 $$