Explanation:
Let's find the slope by using this formula:
![(y2)/(x2) -(y1)/(x1) =m](https://img.qammunity.org/2023/formulas/mathematics/high-school/nyv56x63f2y3v59v0tppdy2y6e8xegazit.png)
We'll use these 2 points:
(4, 6)
(8, 12)
Substitute the points into the formula's format:
![(12)/(8) -(6)/(4) =m](https://img.qammunity.org/2023/formulas/mathematics/high-school/a1e6gk8ob42rsf5bbirzc085v1hw7lb7ih.png)
Subtract:
![(6)/(4) =(3)/(2) =m](https://img.qammunity.org/2023/formulas/mathematics/high-school/9iaf9box6p7iqb9x1bvpppg3bte1chs1b2.png)
The slope means that;
For every 2 (x), y increases by 3.
Other points that can lie on the given line:
![(4+2)/(6+3) =(6)/(9) \: (6,9)](https://img.qammunity.org/2023/formulas/mathematics/high-school/7bfg2pwbm4iv21p3czf33hee8ypwnqrbof.png)
![(8+2)/(12+3) =(10)/(15) \: (10,15)](https://img.qammunity.org/2023/formulas/mathematics/high-school/y15mz3p8ntki3uf9hifx8u548hmh9k2cd6.png)
![(10+2)/(15+3) =(12)/(18) \: (12,18)](https://img.qammunity.org/2023/formulas/mathematics/high-school/786ghp7xpuqwo27mz88h54f5hvwjj7bd04.png)
![(12+2)/(18+3) =(14)/(21) \: (14,21)](https://img.qammunity.org/2023/formulas/mathematics/high-school/44biroj9v3if6cqcvqjjri46hmbfukv7op.png)
![(16+2)/(24+3) =(18)/(27) \: (18,27)](https://img.qammunity.org/2023/formulas/mathematics/high-school/zexh9j8p0yaxcks141c7g07qe46ubjlzr8.png)
![(18+2)/(27+3) =(20)/(30) \: (20,30)](https://img.qammunity.org/2023/formulas/mathematics/high-school/wi5azs5ipy5agxxz3hsvpcnltqggnt4mts.png)