ANSWER
[tex]y+6=2(x+3)[/tex]
[tex]y-2=2(x-1)[/tex]
[tex]y-4=2(x-2)[/tex]
EXPLANATION
The equation in point slope form is given by the formula
[tex]y-y_1=m(x-x_1)[/tex], where [tex]m[/tex] is the slope and the point [tex](x_1,y_1)[/tex] lies on the line.
We can determine the slope using the formula,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We now use the point,[tex](1,2)[/tex] and [tex](2,4)[/tex] to dtermine the slope.
[tex]m=\frac{4-2}{2-1}=2[/tex]
There the equations in point-slope form is;
[tex]y+6=2(x+3)[/tex]
or
[tex]y-2=2(x-1)[/tex]
or
[tex]y-4=2(x-2)[/tex]
