Question 372014
  <pre><font size = 3 color = "indigo"><b>
Hi,
slope of the line containing the points (-2,1) and (3,-5)
{{{m =(y[2] - y[1])/(x[2] - x[1])}}}
(-2,1) and (3,-5)
m = (-5-1)/(3-(-2) = -6/5 is the slope


the standard point-slope form for an equation of a line y = mx + b  
where m is the slope and b the y-intercept.  
equation of this line:
y = (-6/5)x + b  Using ordered pair (-2,1) to solve for b
1 = (-6/5)*-2 + b
1 - 12/5 = b
-7/5 = b
y = (-6/5)x -(7/5)
{{{drawing(300,300, -6, 6, -6, 6,grid(1),
circle(-2, 1,0.2),
circle(3, -5,0.2),
graph( 300, 300, -6, 6, -6, 6,(-6/5)x -(7/5)
 ))}}}