Answer:
-The final answer for the slope:
![m = -4](https://img.qammunity.org/2021/formulas/mathematics/high-school/8ml8rflovpcwy2gpsne07kpzw2wvye4hpy.png)
Explanation:
-There are four points on a table:
,
,
,
![(-4, 9)](https://img.qammunity.org/2021/formulas/mathematics/high-school/weu1a3rtgahzvqeuh9evgeqhvyjt7d6hqq.png)
-To find the slope, use any two points from the table and use it for the slope formula:
![m = (y_(2)-y_(1))/(x_(2)-x_(1))](https://img.qammunity.org/2021/formulas/mathematics/middle-school/saj7tv1n3fcc1ird80ojop4kim2sqz1czt.png)
(The two points I use, were
and
for the formula):
![m = (17 - 21)/(-6+7)](https://img.qammunity.org/2021/formulas/mathematics/high-school/q6r0bd9fgy3l2zno8v4rss4hw6tylxvwi3.png)
-Then, solve the formula:
![m = (17 - 21)/(-6+7)](https://img.qammunity.org/2021/formulas/mathematics/high-school/q6r0bd9fgy3l2zno8v4rss4hw6tylxvwi3.png)
![m = (-4)/(1)](https://img.qammunity.org/2021/formulas/mathematics/high-school/ic0z698j5u193i5vqqn9csb5j9207twgom.png)
![m = -4](https://img.qammunity.org/2021/formulas/mathematics/high-school/8ml8rflovpcwy2gpsne07kpzw2wvye4hpy.png)
So, the final answer for the slope is
.