Answer:
[tex]y=2x+3[/tex]
Step-by-step explanation:
Choose 2 ordered pairs from the table: (0, 3) and (5, 13)
Let [tex](x_1,y_1)[/tex] = (0, 3)
Let [tex](x_2,y_2)[/tex] = (5, 13)
Use the slope formula to find slope: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\implies m=\dfrac{13-3}{5-0}=2[/tex]
Use point-slope form of linear equation to find equation:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-3=2(x-0)[/tex]
[tex]\implies y=2x+3[/tex]
