Question 387755
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Hi
to determining the slope of the line containing following points:
 (-5,2),(0,-1)
Using the point-slope formula, {{{m =(y[2] - y[1])/(x[2] - x[1])}}}
  m = ( -1 - 2 ) / 0 -(-5)  = -3/5
  m = -(3/5)
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 = -(3/5)x - 1   Pt(0,-1) the  y-intercept.  b = -1
{{{drawing(300,300, -6, 6, -6, 6, grid(1),
circle(0, -1,0.3),
circle(-5, 2,0.3),
graph( 300, 300, -6, 6, -6, 6,-(3/5)x - 1   ))}}}