Respuesta :

Given the coordinates of a line segment with two points

Step 1: Write out the coordinate and identify the x and y values

[tex]\begin{gathered} (-9,-9),x_1=-9,y_1=-9 \\ (-6,-12),x_2=-6,y_2=-12 \end{gathered}[/tex]

Step 2: write out the formula for the slope (m )

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

Step 3: Substitute the x and y values and solve for the slope

[tex]m=\frac{-12-(-9)}{-6-(-9)}[/tex][tex]\begin{gathered} m=\frac{-12+9}{-6+9} \\ =-\frac{3}{3} \\ =-1 \end{gathered}[/tex]

Hence the slope of the line is -1