Question 410607
  <pre><font size = 3 color = "indigo"><b>
Hi
Using the point-slope formula, {{{m =(y[2] - y[1])/(x[2] - x[1])}}}
(-5,-4) and 
(-1,-6)  m = 2/-4 = -1/2
*[tex \LARGE\ Using \ the \ standard \ slope-intercept \ form \ for \ an \ equation \ of \ a  \ line \ y = mx + b ] 
*[tex \LARGE\ where \ m \ is \ the \ slope \ and \ b \ the \ y-intercept]
  y = (-1/2)x + b   |using ordered pair Pt(-5,-4) to solve for b
 -4 = (-1/2)*5 + b
 -8/2 + 5/2 = b
  -3/2 = b
 y =   y = (-1/2)x -3/2  | The equation of the line in slope-intercept form
  y-intercept Pt(0,-3/2)
 m = -1/2: as y increases/decreases by 1, x increases/decreases by 2 in opposite direction
              Pt(-2,-1/2) and Pt(2,-5/2) on the Line
{{{drawing(300,300,   -6, 6, -6, 6,  grid(1),
circle(0, -1.5,0.3),
circle(2, -2.5,0.3),
circle(-2, -.5,0.3),
graph( 300, 300, -6, 6, -6, 6,0,-.5x-1.5))}}}