Respuesta :

Answer:

[tex]\begin{gathered} S=\frac{6-4}{2-(-1)} \\ \\ =\frac{2}{2+1} \\ \\ =\frac{2}{3} \end{gathered}[/tex]

Therefore, the slope of the line is 2/3

Explanation:

The slope of the line can be determined by the formula:

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

Given the points E(-1, 4) and F(2, 6), we have:

[tex]\begin{gathered} x_1=-1 \\ y_1=4_{} \\ x_2=2 \\ y_2=6 \end{gathered}[/tex]

Using these, we have:

[tex]\begin{gathered} S=\frac{6-4}{2-(-1)} \\ \\ =\frac{2}{2+1} \\ \\ =\frac{2}{3} \end{gathered}[/tex]

Therefore, the slope of the line is 2/3