Question

Find the slope of the line containing the following points:(8,5) (3,7)

Answer 1

Answer: -2/5

Explanation:

The points we have are

(8,5) and (3,7)

I will label this coordinates as follows:

$\begin{gathered} x_1=8 \\ y_1=5 \\ x_2=3 \\ y_2=7 \end{gathered}$

And next, we use the formula for the slope:

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

where m represents the slope between the two points.

We substitute the known values:

$\begin{gathered} m=\frac{7-5}{3-8} \\ m=\frac{2}{-5}=-\frac{2}{5} \end{gathered}$

Answer:

$-\frac{2}{5}$