Question 466097
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b> 
Hi,
Using the point-slope formula, {{{m =(y[2] - y[1])/(x[2] - x[1])}}}
(3, -2) and 
(5, -6)  m = 4/-2 = -2
Using the standard slope-intercept form for an equation of a line y = mx + b  where m is the slope and b the y-intercept.  
 y = -2x + b   |Using (3, -2) to solve for b
-2 = -2*3 + b
 4 = b
 y = -2x + 4

{{{drawing(300,300,   -6, 6, -6, 6,  grid(1),
circle(3, -2,0.3),
circle(5, -6,0.3),
graph( 300, 300, -6, 6, -6, 6,0,-2x+4))}}}