Respuesta :

Given:

Find-: Slope of the line.

Sol:

The slope of line is:

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

Where,

[tex]\begin{gathered} (x_1,y_1)\text{ = First point} \\ \\ (x_2,y_2)=\text{ Second point} \end{gathered}[/tex]

Choose any point:

[tex]\begin{gathered} (x_1,y_1)=(-1,-4) \\ \\ (x_2,y_2)=(0,-1) \end{gathered}[/tex]

So, the slope of the line is:

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \\ m=\frac{-1-(-4)}{0-(-1)} \\ \\ m=\frac{-1+4}{0+1} \\ \\ m=\frac{3}{1} \\ \\ m=3 \end{gathered}[/tex]

Slope of line is 3.

Ver imagen HildeI383588