Question

which equation gives the rule for this table? x y 4 -40 5 -50 6 -60 7 -70 y = -11x y = 23x y = 16x y = -10x submit

Explanation:

Step1: Test x=4 in each equation

• For \( y = -11x \): \( y = -11\times4=-44

eq - 40 \)

• For \( y = 23x \): \( y = 23\times4 = 92

eq - 40 \)

• For \( y = 16x \): \( y = 16\times4=64

eq - 40 \)

• For \( y = -10x \): \( y=-10\times4 = - 40 \) (matches)

Step2: Verify with other x values (optional but confirm)

• x=5: \( y=-10\times5=-50 \) (matches table)
• x=6: \( y=-10\times6=-60 \) (matches table)
• x=7: \( y=-10\times7=-70 \) (matches table)

Answer:

\( y = -10x \) (the option: \( y = -10x \))