Graph the system below and write its solution. \( \left\{\begin{array}{c}6 x-2 y=-4 \\ y=3 x+2\end{array}\right. \)

To graph the system of equations, we start by rearranging both equations into slope-intercept form, \(y = mx + b\). 1. For the first equation \(6x - 2y = -4\), we can solve for \(y\): \[ -2y = -6x - 4 \implies y = 3x + 2. \] 2. The second equation is already in slope-intercept form: \(y = 3x + 2\). Now, both equations are identical, which means they represent the same line. When graphed, they will overlap completely. To find the solution, we can pick any point on the line. One easy point is when \(x = 0\): \[ y = 3(0) + 2 = 2. \] So the point (0, 2) is a solution. Thus, every point on the line \(y = 3x + 2\) is a solution to the system, indicating that there are infinitely many solutions along this line! The system is dependent, represented by the equation itself.