We want to describe the system of equations by analyzing the graph. We will see that the correct option is:
"The blue line represents the equation 2x -3 y = -6, and the solution to the system of equations is (–6, –2)."
We know that the equations are:
y = (-1/3)*x - 4
2x - 3y = -6
Notice that the y-intercept of the first equation is -4, and the line that intercepts the y-axis at -4 is the red line. So the red line represents the equation y = (-1/3)*x - 4, while the blue line represents the other equation.
Also, remember that the solution of a system of equations is given by the point where the graphs of the equations intercept, here, we can see that the lines intercept at (-6, -2), so the solution of the system is (-6, -2)
Then the correct option is:
The blue line represents the equation 2x-3y=-6, and the solution to the system of equations is (–6, –2).
If you want to learn more, you can read:
https://brainly.com/question/9351049
