A company started with 3 employees and after 8 months grew to 19. The growth was steady.What is the equation that models the growth of the company's employees?

Answer:y = 2x + 3Step-by-step explanation:We can make 2 coordinate points and find equation of the line using the line formula.We can say that at starting (0 months), there were 3 employees.After 8 months, there were 19 employees.Let months be x points and number of employees be y points.Thus, 2 points would be:(0,3)  &  (8,19)Now, the equation of the line is given as:[tex]y=mx+b[/tex]Where m is the slope and b is the y-interceptLet's find slope first with the formula:[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Wherex_1 = 0x_2 = 8y_1 = 3y_2 = 19Thus, we have:Slope = [tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{19-3}{8-0}=\frac{16}{8}=2[/tex]Now we have:y = 2x + bTo find b, we put (0,3) into the equation:y = 2x + b3 = 2(0) + b3 = 0 + bb = 3So the equation of the line is: y = 2x + 3