Given:
A line passes through (-2,-6) and has a slope of [tex]\dfrac{1}{3}[/tex].
To find:
The point slope form of the given line.
Solution:
If a line passes through a point [tex](x_1,y_1)[/tex] with slope m, then the slope intercept form of the line is
[tex]y-y_1=m(x-x_1)[/tex]
The line passes through (-2,-6) and has a slope of [tex]\dfrac{1}{3}[/tex]. So, the point slope form of the line is
[tex]y-(-6)=\dfrac{1}{3}(x-(-2))[/tex]
[tex]y+6=\dfrac{1}{3}(x+2)[/tex]
Therefore, the correct option is A.
