hello
to solve this problem, we can easily find the slope of the line
this will give us the an insight to the answer
[tex]\text{slope(m)}=\frac{y_2-y_1}{x_2-x_1}[/tex]
now let's identify our points
[tex]\begin{gathered} y_2=2 \\ y_1=-4.5 \\ x_2=-13.5 \\ x_1=6 \end{gathered}[/tex][tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{2--4.5}{-13.5-6} \\ m=\frac{6.5}{-19.5} \\ m=-\frac{1}{3} \end{gathered}[/tex]
the slope of the line is -1/3 and this corresponds to option B
the equation of the line is given as
[tex]y=-\frac{1}{3}x-2.5[/tex]
