Answer:
y = 3x +26
Explanation:
1. First find the slope. The formula for finding the slope is
.
![m = (2-8)/(-8-(-6)) = -6/-2 = 3](https://img.qammunity.org/2023/formulas/mathematics/high-school/lr37wkshpezse1vf808lumt7y8g5ukizvr.png)
2. Plug the slope value into the point-slope equation: y = mx + b.
![y = 3x + b](https://img.qammunity.org/2023/formulas/mathematics/college/ck1itc0m6qe4d3wzf77y15t0ged2ttkidi.png)
3. In order to find b, plug one of the coordinates into the equation and solve for b.
![2 = 3 (-8) + b](https://img.qammunity.org/2023/formulas/mathematics/high-school/gu68g7mvfhipqhi4g1tq2f1itlgrvryzsw.png)
![2=-24 +b](https://img.qammunity.org/2023/formulas/mathematics/high-school/yzmgkjfegh38cw7b98lp75cz2cd9x9b4fa.png)
![b = 26](https://img.qammunity.org/2023/formulas/mathematics/high-school/8958q1e7ew6f77h2ztnz3l2hgtcb1cyump.png)
4. Substitute the b value into the point-slope equation, and you will have
![y=3x+26](https://img.qammunity.org/2023/formulas/mathematics/high-school/uf09i1r5frqbtvcl9kys64mfmvyl3q4qcz.png)
I hope this helps!