Answer:
A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).
Step-by-step explanation:
Here we have the system:
2x - 3y = -6
y = -(1/3)*x - 4
First, remember that if the slope is negative, then the equation is decreasing.
So, for the second equation, as x increases, y decreases, then the line of the second equation is the red one (because the red one decreases).
So the blue one represents the equation 2x - 3y = -6
Also remember that the solution of a system of equations is the point where the graphs of the equations intersect, here we can see that the intersection happens at the point (-6, - 2)
This means that the solution of the system is (-6, - 2)
From this, we can see that the correct option is:
A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).
