Respuesta :

From th given graph, the line is passing through the points,

[tex]\begin{gathered} (x_1,y_1)=(1,2) \\ (x_{2,}y_2)=(4,1) \end{gathered}[/tex]

The expression to calculate the slope of a line passing through two points is,

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute values in the above expression.

[tex]\begin{gathered} m=\frac{1-2}{4-1} \\ =\frac{-1}{3} \end{gathered}[/tex]

Thus, the slope of the line y is -1/3.