Substitute each value of x into the equation and solve for y. You will see that the values for x and y on the table will be determined by using the equation y=2x+3.
(color(red)x,color(blue)y)
color(blue)y=2color(red)x+3
(color(red)1,color(blue)5)rArr
color(blue)y=2*color(red)1 + 3=2+3=color(blue)5
(color(red)2,color(blue)7)rArr
color(blue)y=2*color(red)2+3=4+3=color(blue)7
(color(red)3,color(blue)9)rrArr
color(blue)y=2*color(red)3 + 3=6+3=color(blue)9
(color(red)4,color(blue)11)rArr
color(blue)y=2*color(red)4+3=8+3=color(blue)11