Question

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

Answer 1

The equation of line in point-slope form is `y= -3/8*x-5/4`

Explanation:

The slope of the line is `m=(y_2-y_1)/(x_2-x_1)= (1+2)/(-6-2)=-3/8`
The equation of line in point-slope form is`y=mx+c or y= -3/8*x+c`
The point (2,-2) will satisfy the equation. i.e`-2= -3/8*2+c or c= -2+3/4= -5/4 :.`The equation of line in point-slope form is `y= -3/8*x-5/4`[Ans]