It is given that the line passes through points (x1, y1)=(4, 1) and (x2, y2)=(2, 3).
The two point form of the equation of a line is given by,
[tex]y-y1=\frac{y2-y1}{x2-x1}(x-x1)[/tex]Substitute the known values in the above equation.
[tex]\begin{gathered} y-1=\frac{3-1}{2-4}(x-4) \\ y-1=\frac{2}{-2}(x-4) \\ y-1=-1(x-4) \\ y-1=-x+4 \\ y=-x+4+1 \\ y=-x+5 \end{gathered}[/tex]Therefore, the equation of the line is y=-x+5.
