Question

Find the slope of each.1. (0, 4) and (2, -3)

Answer 1

Answer:

slope = -3.5

Explanation:

The points we have are:

$\begin{gathered} (0,4) \\ (2,-3) \end{gathered}$

We have to label the coordinates as follows:

$\begin{gathered} x_1=0 \\ y_1=4 \\ x_2=2 \\ y_2=-3 \end{gathered}$

And now we use the formula to calculate the slope between the points:

$m=\frac{y_2-y_1}{x_2-x_1}$

We substitute the known values:

$m=\frac{-3-4}{2-0}$

And solve the operations to find the slope "m" between the points:

$\begin{gathered} m=\frac{-7}{2} \\ m=-3.5 \end{gathered}$

Answer: slope = -3.5