Question 389457
  <pre><font size = 3 color = "indigo"><b>
Hi
the standard slope-intercept form for an equation of a line y = mx + b  
where m is the slope and b the y-intercept.  
finding in slope intercept form
(-6,-4) (-2,-2)
{{{m =(y[2] - y[1])/(x[2] - x[1])}}}
m = [-2-(-4)]  /[ -2-(-6)] = 2/4 = 1/2
Slope m = 1/2
 y = (1/2)x + b  using ordered pair Pt(-2,-2) to solve for b
 -2 = (1/2)*-2 + b
 -2 = -1 + b
 -1 = b
y = (1/2)x - 1
{{{drawing(300,300, -10,10,-10,10,
 grid(1),
circle(-2, -2,0.4),
circle(-6, -4,0.4),
circle(0, -1,0.4),

graph( 300, 300, -10,10,-10,10,.5x -1))}}}