Respuesta :
The equation of the line is  y =3/4x+9  which describes the baby’s weight.
According to the question , Â
        x  = age of the baby in months
        y = weight of the baby in pounds.
We are told that at the time of birth the baby was 9 pounds. Let the age at the time of birth be 0.
Thus the coordinates would be (x1,y1) = (0,9)
Now, every 4 month the baby gain 3 pounds.
Thus, the coordinates would be
          x2 = 4           y2 = 12
          x3 = 8           y3 = 15….. and so on
As the equation of straight line is given as
           y = mx + c   where m is slope of the line. Â
      Or,  (y-y1) = m(x-x1)      (1)     Â
Thus we will find the slope of the line by the formula,
         m = (y2-y1)/(x2-x1)
Putting the required values we will get,
        m = (12-9)/4-0)
        m = 3/4
Therefore, putting the value of m in equation (1), we get,
       (y-9) = 3/4*(x-0)
        y =3/4x+9
which is the required equation of the line that describes the baby’s weight.
Learn more about slope intercept form here : https://brainly.com/question/19440459
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