The system shown is consistent, inconsistent, equivalent

Consistent (and independent)

Step-by-step explanation:

The meaning of the options are:

Consistent (and independent): There is only one point of intersection between the two lines.

Inconsistent: The lines never touch each other, this only can happen when the lines are parallel, so they have the same slope but a different y-intercept.

Equivalent (also called consistent and dependent): This happens when both lines are the same line, so they intersect in an infinite number of points.

In the graph, we can see that the lines intersect in only one point, then we can conclude that the system is consistent.

question is incomplete.