Answer:
Equation of line : y - y1 = m(x - x1)
where x and y are are the point in form
(x , y)
where m is the slope.
Calculate slope using points:
[tex] m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{ 5 - 2}{ - 3 - 6} [/tex]
[tex]m = - \frac{1}{3} [/tex]
Sub points into slope point formula:
[tex]y = - \frac{1}{3} x + c[/tex]
sub 1 point for x and y:
[tex]5 = - \frac{1}{3} ( - 3) + c[/tex]
solve for c:
5 = 1 + c
c = 4
sub c back into equation :
[tex]y = - \frac{1}{3} x + 4[/tex]
