Y-(-1)=3(x-3)->y+1=3x-9->y=3x-10 so y=3x-10 is your new line
9x+ 5y=35
2x + 5y=0 |* -1
9x +5y= 35
-2x -5y= 0
-----------------
7x / = 35
x=35:7
x=5
2x+5y=0
2*5+5y=0
10+5y=0
5y=-10
y= -10:5
y=-2
Reflection rule in the x-axis:
g(x) = - f(x)
f(x) = 3x+12
g(x) = - f(x) = -3x-12
The correct choice is option (C)