Question 661052
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Hi,
It's not the difference between the y & x-values we need to explore...
1st***We need to use the points and determine the behavior of the 
'change' that occurs moving from one to another.  
(change in y) / (change in x ) determines the slope of this Line
 x= -5, -4, -3, -2 and y= 2, 0, -2, -4
Points:
(-5,2)
(-4,0) {{{ m = (2-0)/(-5-(-4)) = 2/-1 = -2}}}
(-3,-2) m = 2/-1 = -2
(-2,-4) m = 2/-1 = 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 (x,y) ordered pair (-4,0) to solve for b
{{{ 0 = -2*-4 + b}}}
    8 = b
 y = -2x+ 8