Answer:
The slope is
![(9)/(16)](https://img.qammunity.org/2022/formulas/mathematics/college/a7ncf2qmkjv1cusqf1jc216sgscz5hk9pc.png)
Explanation:
Hi there!
We are given the points (29, 11) and (-3, -7), and we want to find the slope of them.
The slope can be calculated from two points with the slope formula, which is
, where
and
are points.
We have two points given, but let's label their values to avoid any confusion when we actually calculate:
![x_1=29\\y_1=11\\x_2=-3\\y_2=-7](https://img.qammunity.org/2022/formulas/mathematics/college/6q5oqqzeiregk8zmwj22d7peukikzcuivn.png)
Now substitute into the formula (m is the slope).
m=
![(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2022/formulas/mathematics/high-school/ozi92f7cfx4qqnxrdpkmw0ies15ntgv7zi.png)
m=
![(-7-11)/(-3-29)](https://img.qammunity.org/2022/formulas/mathematics/college/m312pnr5i2eyjlvpjnx2m5gih6fhgdouyz.png)
Subtract
m=
![(-18)/(-32)](https://img.qammunity.org/2022/formulas/mathematics/college/37xy7q6verzqxk5uc39olzzb89bsui5dad.png)
Reduce the fraction
m=
![(9)/(16)](https://img.qammunity.org/2022/formulas/mathematics/college/a7ncf2qmkjv1cusqf1jc216sgscz5hk9pc.png)
The slope is
![(9)/(16)](https://img.qammunity.org/2022/formulas/mathematics/college/a7ncf2qmkjv1cusqf1jc216sgscz5hk9pc.png)
Hope this helps!