Answer :

Given:

Point (3,-7) and (0,-2)

slope

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

where:

[tex]\begin{gathered} m=\text{ slope} \\ (x_1,y_1)\text{ first point} \\ (x_2,y_2)\text{ second point} \end{gathered}[/tex]

then solpe of point (3,-7) and (0,-2)

[tex]\begin{gathered} x_1=3 \\ y_1=-7 \\ x_2=0 \\ y_2=-2 \end{gathered}[/tex]

so slope is:

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ =\frac{-2-(-7)}{0-3} \\ =\frac{-2+7}{-3} \\ =-\frac{5}{3} \end{gathered}[/tex]

solpe is -5/3.

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