Answer:
The slope of the line passing through the point (- 8,-3) and (-3,4) is;
[tex]\begin{gathered} m=\frac{7}{5} \\ m=1.4 \end{gathered}[/tex]Explanation:
We want to find the slope of the line that passes through the points;
[tex]\begin{gathered} (x_1,y_1)=(-8,-3) \\ (x_2,y_2)=(-3,4) \end{gathered}[/tex]Applying the slope m formula;
[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]substituting the given coordinates;
[tex]\begin{gathered} m=\frac{4-(-3)}{-3-(-8)}=\frac{4+3}{-3+8} \\ m=\frac{7}{5} \\ m=1.4 \end{gathered}[/tex]Therefore, the slope of the line passing through the point (- 8,-3) and (-3,4) is;
[tex]\begin{gathered} m=\frac{7}{5} \\ m=1.4 \end{gathered}[/tex]