Answer: y = -2x+1
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Step-by-step explanation:
Use the slope formula to get the slope
m = (y2-y1)/(x2-x1)
m = (-3-1)/(2-0) .. I used the first two points
m = -4/2
m = -2
The slope is m = -2
The y intercept is b = 1 as this is the y coordinate of the point (0,1). The y intercept always happens when x = 0.
Plug the m and b value into y = mx+b to get y = -2x+1
As a check, plug x = 0 into y = -2x+1. You should get y = 1.
Repeat for x = 2 and you should get y = -3
Repeat for x = 4 and you should get y = -7