Question

there are several tables of x and y values, and corresponding equations below some tables:
first table (x,y): (1,-1), (3,-3), (1.4,-1.4), (0,0), equation y = -x
second table (x,y): (4,2), (7,3.5), (3,1.5), (30,15), equation y = 0.5x
third table (x,y): (50,10), (30,6), (40,8), (20,4)
fourth table (x,y): (12,-6), (-50,25), (1,-0.5), (-90,45)
fifth table (x,y): (-2,8), (0,0), (3,-12), (-5,20), equation y = -4x
sixth table (x,y): (8,2), (16,4), (20,5), (2, 1/2)

Explanation:

Step1: Verify the unlabeled table (bottom left)

Check if each $y$ equals $-0.5x$:

• For $x=12$: $y=-0.5\times12=-6$ ✔️
• For $x=-50$: $y=-0.5\times(-50)=25$ ✔️
• For $x=1$: $y=-0.5\times1=-0.5$ ✔️
• For $x=-90$: $y=-0.5\times(-90)=45$ ✔️

Step2: Verify the unlabeled table (bottom right)

Check if each $y$ equals $\frac{1}{4}x$:

• For $x=8$: $y=\frac{1}{4}\times8=2$ ✔️
• For $x=16$: $y=\frac{1}{4}\times16=4$ ✔️
• For $x=20$: $y=\frac{1}{4}\times20=5$ ✔️
• For $x=2$: $y=\frac{1}{4}\times2=\frac{1}{2}$ ✔️

Answer:

Bottom left unlabeled table: $y=-0.5x$
Bottom right unlabeled table: $y=\frac{1}{4}x$