The general equation of a line is expressed as:
y = mx + b
We have to write the equations to this form to see whether from there we can conclude something.
y = 3x – 7 (1)
6x – 2y = 12 (2)
-2y = 12 - 6x
y = 3x -6
We can see that both equations have the same slope and different values of y-intercept. Therefore, they are parallel and would never meet.
The correct answer is option C, there is no solution.
