Answer:
slope = -3.5
Explanation:
The points we have are:
[tex]\begin{gathered} (0,4) \\ (2,-3) \end{gathered}[/tex]We have to label the coordinates as follows:
[tex]\begin{gathered} x_1=0 \\ y_1=4 \\ x_2=2 \\ y_2=-3 \end{gathered}[/tex]And now we use the formula to calculate the slope between the points:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]We substitute the known values:
[tex]m=\frac{-3-4}{2-0}[/tex]And solve the operations to find the slope "m" between the points:
[tex]\begin{gathered} m=\frac{-7}{2} \\ m=-3.5 \end{gathered}[/tex]Answer: slope = -3.5
