Answer:
![y-6=5(x-2)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/ory382j5y9kpuy3i2brwqqu76vzad63k2b.png)
Explanation:
1. You have that the point slope formula is:
![y-y_1=m(x-x_1)](https://img.qammunity.org/2019/formulas/mathematics/college/lob8zuuisy2ohheuctatxwwco4ukatcrj3.png)
Where
is the slope and
the given point.
2. You know the point (2,6) and the slope 5, which are given in the problem, therefore you only need to substitute values, as you can see below:
![m=5\\x_1=6\\y_1=2\\y-y_1=m(x-x_1)\\y-6=5(x-2)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/40ryahl9s4lggsqyv80f1dpz9pbrccu553.png)
3. Therefore, the answer is
![y-6=5(x-2)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/ory382j5y9kpuy3i2brwqqu76vzad63k2b.png)