Respuesta :
The equation of the line is y =3/4x+9 which describes the baby’s weight.
According to the question ,
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.
Or, (y-y1) = m(x-x1) (1)
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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