Answer:
Number 7:
![m=(6)/(4)](https://img.qammunity.org/2023/formulas/mathematics/college/5u8vakhcbr3rd4rhte1il46f54i8yj9345.png)
This graph displays the change in wage per years of service. Since the slope is positive, this means the wage has a positive growth.
Number 8:
![m=(-400)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/sib6gjubugp2duzj3h70fmbi2fmpsxlevi.png)
This graph displays the amount of people evacuating per hour. Since the slope is negative, this means the amount of people evacuating per hour is reducing.
Explanation:
Number 7:
Step 1: Identify the points on the line to use for slope formula.
The two points are (2, 11) and (6, 17).
and
will be
![(2,11)](https://img.qammunity.org/2023/formulas/mathematics/college/hx0srlm7yctucnh468xs88taorugael6d2.png)
and
will be
![(6, 17)](https://img.qammunity.org/2023/formulas/mathematics/college/tmgs4vxxyvkwmocq1f8018st981wvu10io.png)
Step 2: Plug in points into slope formula.
![m=(y^2-y^1)/(x^2-x^1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/f0599k3d5zk33lz4fqr9vkor6fj3d181l5.png)
![m=(17-11)/(6-2)](https://img.qammunity.org/2023/formulas/mathematics/college/51agaq3fua020q153es2cap38swq2l53lh.png)
Step 3: Subtract.
![m=(6)/(4)](https://img.qammunity.org/2023/formulas/mathematics/college/5u8vakhcbr3rd4rhte1il46f54i8yj9345.png)
Step 4: Simplify.
improper fraction:
![(3)/(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/kh0j929khqk1dyq17zw34dvkw0nfqhl19f.png)
mixed number:
![1(1)/(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/jqfjlurdjqvgzu6zj6nec0xekpl7kvt3ne.png)
decimal:
![1.5](https://img.qammunity.org/2023/formulas/mathematics/college/60y0fujdkz6xewhgfrhcusjboql5czpz8e.png)
Number 8:
Step 1: Identify the points on the line to use for the slope formula.
The two points are (3, 1200) and (6, 800)
and
will be
![(3,1200)](https://img.qammunity.org/2023/formulas/mathematics/college/6fb3eu8dty4i0zfqoyamzwwfvusq13rfvb.png)
and
will be
![(6, 800)](https://img.qammunity.org/2023/formulas/mathematics/college/nf0pfaunqbecl19mh4opp2piwgw583mht8.png)
Step 2: Plug in points into slope formula.
![m=(y^2-y^1)/(x^2-x^1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/f0599k3d5zk33lz4fqr9vkor6fj3d181l5.png)
![m=(800-1200)/(6-3)](https://img.qammunity.org/2023/formulas/mathematics/college/2k1rrvdggk1if19bnaetk5fc8bmutf6hud.png)
Step 3: Subtract.
![m=(-400)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/sib6gjubugp2duzj3h70fmbi2fmpsxlevi.png)
Step 4: Simplify.
Cannot be simplified further.
mixed number:
![m=(-400)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/sib6gjubugp2duzj3h70fmbi2fmpsxlevi.png)
decimal:
![133.333333333](https://img.qammunity.org/2023/formulas/mathematics/college/mqpay1gne94qi9gxuhwmghmhm8il4f797f.png)