Respuesta :
Step 1
Rearrange the equation
[tex]\begin{gathered} y-3x=4 \\ y=4+3x \end{gathered}[/tex]Step 2
Test all options by rearrangement
Option A
[tex]\begin{gathered} y=\text{ -3x +4} \\ \text{This is not equivalent to the given equation} \end{gathered}[/tex]Option B
[tex]\begin{gathered} y-7=3(x-1) \\ y=3x-3+7 \\ y=3x+4 \\ y=\text{ 4 + 3x} \\ \text{Hence option B is an equivalent} \end{gathered}[/tex]Option C
[tex]\begin{gathered} y-10=3(x-2) \\ y=\text{ 3x-6+10} \\ y=\text{ 3x +4} \\ y=\text{ 4+3x} \\ \text{Hence option C is equivalent} \end{gathered}[/tex]Option D
[tex]\begin{gathered} y-10=3(x-1) \\ y=\text{ 3x-3+10} \\ y=\text{ 3x+7} \\ y=\text{ 7+3x} \\ \text{Hence option D is not equivalent} \end{gathered}[/tex]Hence, the equivalent options to the equation are options B and C
