Respuesta :

Given:

Two given points are,

[tex]\begin{gathered} (x_1,y_1)=(2,-3) \\ (x_2,y_2_{})=(5,6) \end{gathered}[/tex]

THe objective is to find the value of slope, (m).

The formula to find the slope is,

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

Now, substitute the given values in the above slope formula.

[tex]\begin{gathered} m=\frac{6-(-3)}{5-2} \\ m=\frac{6+3}{5-2} \\ m=\frac{9}{3} \\ m=3 \end{gathered}[/tex]

Hence, the slope of the line is 3.