Question 1091412
 y = mx + b
   where m = slope (change in y over change in x)
              b = y-intercept (where the line crosses y-axis)

m can be found by the two points:  m = (-2-2)/(2-0) = -4/2 = -2

Now we have  y = -2x + b and just need to use one of the two points to find b:
 
                 2 = -2(0) + b  —>  b = 2

 Plug this value in for b to complete the equation:

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 Ans:   {{{ highlight(y = -2x + 2) }}} 
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Check:   (0,2):  y = -2(0) + 2 = 2   (ok, the line passes through (0, 2))
              (2,-2):  y = -2(2) + 2 = -2   (ok, the line passes through (2,-2))