Respuesta :

We have to use the formula of the slope

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

Where,

[tex]x_1=2m,x_2=m-3,y_1=4,y_2=6,m=-5[/tex]

Replacing all these values, we have

[tex]-5=\frac{6-4}{m-3-2m}[/tex]

Now, we solve for m

[tex]\begin{gathered} -5=\frac{2}{-m-3} \\ -m-3=\frac{2}{-5} \\ -m=-\frac{2}{5}+3 \\ m=\frac{2}{5}-3=\frac{2-15}{5}=\frac{-13}{5} \end{gathered}[/tex]

Therefore, m must be equal to -13/5 in order to meet the given characteristics.