Hi

 Using the standard slope-intercept form for an equation of a line:  , where m is the slope and b the y-intercept.



X=0, Y=5...X=1, Y=2...X=2, Y=-1

(1,2)

(0,5) m = -3/1 = -3, |Yes, x is increasing by 1 and y is decreasing by 3 

y = -3x + b 

5 = -3·0 + b

5 = b  

  Green

x=2, y=-1, and x=3, Y=4.  

(3, 4)

(2, -1)  m = -5/-1 = 5

y = 5x + b

-1 = 5·2 + b

 -11 = b

  Blue

x=-2, y=1 ... x=0, y=0,... 

 (0, 0)

(-2, 1) m = -1/2  |Yes, x is increasing by 2, y is decreasing by 1

 y = (-1/2)x + b

 0 = (-1/2)0 + b, b = 0

 y =  Purple   (Note: with negative slopes, lines slant to the left)



 

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