Answer:
No Solutions
[y = -x - 2, y = -x - 6]
One Solution
[y = 2x, y = -2x]
[y = -3, x = -6]
Infinitely Many Solutions
[y = 3x + 4, 2y = 6x + 8]
Explanation:
When the lines have the same slope (m) but different y-intercept (b), the lines are parallel and never intersect, thus we have no solutions.
When the lines have different slopes (m), the lines would intersect at one point so we have one solution.
When the lines have the same slope (m) and same y-intercept (b), the equations both represent the same linear line, so we have infinitely many solutions.