Let:
[tex]\begin{gathered} (x1,y1)=(3,30) \\ (x2,y2)=(5,50) \\ so\colon \\ m=\frac{y2-y1}{x2-x1}=\frac{50-30}{5-3}=\frac{20}{2}=10 \\ \end{gathered}[/tex]using the point-slope equation:
[tex]\begin{gathered} y-y1=m(x-x1) \\ y-30=10(x-3) \\ y-30=10x-30 \\ y=10x \end{gathered}[/tex]so:
[tex]\begin{gathered} (6,60) \\ 60=10(6) \\ 60=60 \\ True \end{gathered}[/tex]Answer:
C (6,60)
