Explanation:
Hey there!!
We simply use double point formula for the equation of a st.line passing through two points.
So, the points are, (3,6) and (8,18).
Now, using two point formula,
![(y - y1) = (y2 - y1)/(x2 - x1)(x - x1)](https://img.qammunity.org/2021/formulas/mathematics/college/2cfmfvqts5ye5wlhtfooqq1r956tq34mmu.png)
Put all values,
![(y - 6) = (18 - 6)/(8 - 3) (x - 3)](https://img.qammunity.org/2021/formulas/mathematics/college/6fduqoocqva663cgu9dperyl21zyhdxup5.png)
Simplify them.
![(y - 6) = (12 )/(5) (x - 3)](https://img.qammunity.org/2021/formulas/mathematics/college/hlglomfv4s0cwvtvxyd3zqhanwa642lu3w.png)
![5(y - 6) = 12(x - 3)](https://img.qammunity.org/2021/formulas/mathematics/college/sa53a69w84ezyxzozjb1eei8pogukmfzl8.png)
![5y - 30 = 12x - 36](https://img.qammunity.org/2021/formulas/mathematics/college/7uaz3hpf9qws7i0rrxdpx2iwt9km2eklvc.png)
![12x - 5y - 6 = 0](https://img.qammunity.org/2021/formulas/mathematics/college/68gc1o1qer0j0427nzufv57wryf5hf13a6.png)
Therefore the equation is 12x-5y-6=0.
Hope it helps....