For the graph shown, select the statement that best represents the given system of equations.
number graph ranging from negative five to five on the x axis and negative six to four on the y axis. a line with a negative slope is drawn on the graph.
6x + 4y = 2
3x + 2y = 1
a.
not enough information
b.
coincident
c.
consistent and independent
d.
inconsistent

Step-by-step explanation:

An coincident system of equations means that it has infinite solutions, because one line is on the other one. This happens when their equation are the same, or their "parent" line is the same.

So, given equations are:

6x + 4y = 2 and 3x + 2y = 1

Observe that if we divide the first by 2, we have

As you can see, using the first equation, we found that it has the same "parent" equation than the second equation. In other words, they are basically the same. This means that they represent the same line, so, the system is coincident and they have infinite solutions.

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