Answer: -2/5
Step-by-step 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}](https://img.qammunity.org/2023/formulas/mathematics/high-school/qafk5ehmd40q2e7fn6qvon9hbmnquxnbof.png)
And next, we use the formula for the slope:
![m=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/78uaqhwt0aws3qfwxigaftpihnmb1gzxtp.png)
where m represents the slope between the two points.
We substitute the known values:
![\begin{gathered} m=(7-5)/(3-8) \\ m=(2)/(-5)=-(2)/(5) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/p48r1gm6pe0ueagzne852eti60v2ev70hb.png)
Answer:
![-(2)/(5)](https://img.qammunity.org/2023/formulas/mathematics/college/l3p37hi3kgpewjkpaaoq3e4i2ftcnqt18z.png)