Data Sufficiency

In the xy-plane, does the line with equation y = 3x + 2 contain the point (r,s) ?

(1) (3r + 2 - s) (4r + 9 - s) = 0

(2) (4r - 6 - s) (3r + 2 - s) = 0


from the equation y = 3x + 2, we get to know that SLOPE = 3. so point (r,s) should also have the same slope.

By solving statement 1, we get
s = 3r + 2 and s = 4r + 9
so, the slope = 3 or 4

By solving statement 2, we get
s = 4r - 6 and s = 3r + 2
so, the slope = 4 or 3

Now considering both statements, we get SLOPE = 3 or 4. so i selected "E". But the OA is "C"

Please help to clarify the same.

Thanks & Regards
Nikunj