when 2 lines are parallels , have the same slope
the slope of
[tex]y=-4x+3[/tex]is -4 because is the coefficient of x
so I write the general equation of the line and replace the slope
[tex]\begin{gathered} y=mx+b \\ \\ y=-4x+b \end{gathered}[/tex]to find b, I replace the point (-3,2) since this must be fulfilled
so
[tex]2=-4(-3)+b[/tex]and solve b
[tex]\begin{gathered} 2=12+b \\ b=2-12 \\ b=-10 \end{gathered}[/tex]the equation of the parellel line is
[tex]y=-4x-10[/tex]so the right option is A
