Answer:
![\boxed {\tt m= -6}](https://img.qammunity.org/2021/formulas/mathematics/high-school/vt53gty606z9gz44441vj3ahduuz5fl0op.png)
Explanation:
The slope formula is:
![m=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/e9lgdayfzr27dyurvzbw9lffpiv7535tiv.png)
where (x₁, y₁) and (x₂, y₂) are the points given.
The points are (9, -14) and (8,-8). Therefore,
x₁=9
y₁= -14
x₂= 8
y₂= -8
Substitute the values into the formula.
![m=(-8 - -14)/(8-9)](https://img.qammunity.org/2021/formulas/mathematics/high-school/57lwf8qnm35jq1rrpcvms0kpjiqt23gx7p.png)
![m=(-8 +14)/(8-9)](https://img.qammunity.org/2021/formulas/mathematics/high-school/nd2c55ckpkknbkhse07qvc5wge2fzop1km.png)
Solve the numerator.
![m=(6)/(8-9)](https://img.qammunity.org/2021/formulas/mathematics/high-school/xbyefpy1uuwasxsthxdq1458jgia7w69zt.png)
Solve the denominator.
![m=(6)/(-1)](https://img.qammunity.org/2021/formulas/mathematics/high-school/98gnspojcem0c9g3zy1qx8eee6p2r2c4cc.png)
Divide 6 by -1.
![m= -6](https://img.qammunity.org/2021/formulas/mathematics/high-school/3z103w6tm7tr9zty3tx76rtaw248k3pj1q.png)
The slope is equal to -6