Respuesta :

The slope of a line that passe through the points (x1,y1) and (x2,y2) is given by:

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

From the graph we notice that the lines passes through the points (-1,1) and (3,-4); plugging the values of this points in the expression for the slope we have that:

[tex]\begin{gathered} m=\frac{-4-1}{3-(-1)} \\ m=\frac{-5}{3+1} \\ m=-\frac{5}{4} \end{gathered}[/tex]

Therefore the slope of the line is -5/4