Respuesta :

formulaAs given by the question

There are given that the two-point

[tex](1,\text{ -5) and (4, 1)}[/tex]

Now,

From the formula of slope

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

Where,

[tex]x_1=1,y_1=-5,x_2=4,y_2=1[/tex]

Put the all value into the given formulq

So,

[tex]\begin{gathered} M=\frac{y_2-y_1}{x_2-x_1} \\ M=\frac{1_{}-(-5)_{}}{4_{}-1_{}} \\ M=\frac{1_{}+5_{}}{4_{}-1_{}} \\ M=\frac{6}{3} \\ M=2 \end{gathered}[/tex]

Hence, the value of the slope is 2.