Find the slope an y intercept of the second graph:
slope intercept form equation:
y=mx+b
Where:
m= slope ( rise/run)
b= y-intercept ( where the line crosses the y axis)
slope formula : m = (y2-y1) / (x2-x1)
Choose two points from the first graph, for example :
(x1,y1) = (0,2)
(x2,y2)= (1,0)
m = (0-2)/(1-0) = -2/1 = -2
y= -2x +b
Replace (x,y) for a point (x1,y1) and solve for b
2 = -2(0) + b
2= b
b= 2
y= -2x + 2 (second graph)
Since the points appear also on the second table, the equivalent options are:
Second graph, second table , first equation (y=-2x+2)