Test all the available rules with the values of x to see if you get the corresponding y values of the xOption Ay=2x+2When x=1y=2(1)+2=2×1+2=4Since y=3, option A is not the answer Option By=−2x+2When x=1y=−2(1)+2=−2×1+2=−2+2=0Option Cy=4xWhen x=1y=4(1)=4×1=4Since y=3, option C is not the answerSo automatically the answer will be option D but you can still verifyy=−2x+5When x=1y=−2(1)+5=−2×1+5=−2+5=3When x=2y=−2(2)+5=−2×2+5=−4+5=1When x=3y=−2(3)+5=−2×3+5=−6+5=−1When x=4y=−2(4)+5=−2×4+5=−8+5=−3When x=5y=−2(5)+5=−2×5+5=−10+5=−5