Given:
A line passes through (-2,-6) and has a slope of
.
To find:
The point slope form of the given line.
Solution:
If a line passes through a point
with slope m, then the slope intercept form of the line is
![y-y_1=m(x-x_1)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ks7lzc9jj3emt3ptrdvrvr0uzhz4c0qyo5.png)
The line passes through (-2,-6) and has a slope of
. So, the point slope form of the line is
![y-(-6)=(1)/(3)(x-(-2))](https://img.qammunity.org/2021/formulas/mathematics/high-school/rclkukeab3bo1jk72h6hqy4yprbkhx1172.png)
![y+6=(1)/(3)(x+2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/mv7hldy4289fo25qn8xh046dxrag1ix9nh.png)
Therefore, the correct option is A.