Given data:
The first point is (1, 2).
The second point is (5, -4).
The slope of the line is,
[tex]\begin{gathered} m=\frac{-4-2}{5-1} \\ =\frac{-6}{4} \\ =-1.5 \end{gathered}[/tex]
Thus, the slope of the line is -1.5.
The equation of the line is,
[tex]\begin{gathered} y-2=-1.5(x-1) \\ y-2=-1.5x+1.5 \\ y=\text{ -1.5x+3.5} \end{gathered}[/tex]
Thus, the equationn of the line is y=-1.5x+3.5.
The graph of the line is shown below.
