Respuesta :

To calculate the slope containing two points, we can use that formula:


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


"m" represents the slope and coordinates are expressed as follows: (x, y)


Let's go to the calculations.


[tex]\mathsf{m=\dfrac{y_2-y_1}{x_2-x_1}}\\\\\\ \mathsf{m=\dfrac{4-(-5)}{5-(-1)}}\\\\\\ \mathsf{m=\dfrac{4+5}{5+1}}\\\\\\ \mathsf{m=\dfrac{9}{6}=\dfrac{9^{:3}}{6^{:3}}}\\\\\\ \underline{\mathsf{m=\dfrac{1}{2}=0.5}}[/tex]


The answer is 0.5 uc.