The point slope form for the line passing through the point [tex] (x_{1}, y_{1}) [/tex] with the given slope m is given by [tex] (y-y_{1}) = m (x-x_{1}) [/tex].
We need to find the point slope form passing through the point [tex] (-3,-7) [/tex] and slope as [tex] \frac{-6}{5} [/tex] is:
[tex] (y-(-7))=-\frac{6}{5}(x-(-3)) [/tex]
[tex] (y+7)=-\frac{6}{5}(x+3) [/tex]
[tex] 5y+35=-6x-18 [/tex]
[tex] 5y+6x =-53 [/tex] is the required point slope form.
