How do you write the point slope form of the equation given (2,-2) and (-6,1)?

The equation of line in point-slope form is $y = - \frac{3}{8} \cdot x - \frac{5}{4}$
The slope of the line is $m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{1 + 2}{- 6 - 2} = - \frac{3}{8}$
The equation of line in point-slope form is$y = m x + c \mathmr{and} y = - \frac{3}{8} \cdot x + c$
The point (2,-2) will satisfy the equation. i.e$- 2 = - \frac{3}{8} \cdot 2 + c \mathmr{and} c = - 2 + \frac{3}{4} = - \frac{5}{4} \therefore$The equation of line in point-slope form is $y = - \frac{3}{8} \cdot x - \frac{5}{4}$[Ans]