The given points are A(3,7) and B(2,11).
First, we find the slope of the line that passes through A and B.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Where,
[tex]\begin{gathered} x_1=3 \\ x_2=2 \\ y_1=7 \\ y_2=11 \end{gathered}[/tex]Replacing these coordinates, we have
[tex]m=\frac{11-7}{2-3}=\frac{4}{-1}=-4[/tex]Now, we sue the slope, one point and the point-slope formula
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-7=-4(x-3) \\ y-7=-4x+12 \\ y=-4x+12+7 \\ y=-4x+19 \end{gathered}[/tex]