We have to write the equation of a line in the point-slope form, and for doing so, we remember it:
[tex]y-y_1=m(x-x_1_{})[/tex]where m represents the slope, and
[tex](x_1,y_1)\text{ is a point of the line}[/tex]As we have that m=-2, and a point is (1,4) we can just replace in the form above, to obtain:
[tex]y-4=-2(x-1)[/tex]Which is the point-slope form of the line with slope -2 and point (1,4).