Let´s the following line:
[tex]\text{ y-2 = 3(x-1)}[/tex]This is equivalent to say:
[tex]\text{ y-2 = 3x-3}[/tex]resolve for y:
[tex]\text{ y = 3x-}3\text{ +2 = 3x -1}[/tex]So we have the following equation for the line
[tex]\text{ y = 3x -1}[/tex]then we can conclude that the slope is 3.
