The equation to calculate the slope is given to be:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]The following parameters are given:
[tex]\begin{gathered} m=2 \\ (x_1,y_1)=(4,3) \\ (x_2,y_2)=(x,-3) \end{gathered}[/tex]We can thereby substitute these values into the equation:
[tex]\begin{gathered} 2=\frac{-3-3}{x-4} \\ 2=\frac{-6}{x-4} \end{gathered}[/tex]Cross multiplying, we have:
[tex]\begin{gathered} 2(x-4)=-6 \\ 2x-8=-6 \end{gathered}[/tex]Adding 8 to both sides, we have:
[tex]\begin{gathered} 2x=-6+8 \\ 2x=2 \end{gathered}[/tex]Dividing both sides by 2, we have:
[tex]x=1[/tex]OPTION C is the correct answer.
