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