Find an equation of a line in the form y = mx + b that describes the baby's weight.
Hello!
The equation, y = mx + b is slope-intercept form. In this equation, m is the slope, and b is the y-intercept.
If the baby was exactly 8 pounds when it was born, then the y-intercept is (0, 8) because at zero months, the baby was eight pounds. To find the rate of change, we can use the the y-intercept (0, 8), and the weight of the baby at four months, which is (4, 8 + 3) → (4, 11).
Since we have two points, we can use the slope formula to find the rate of change.
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The rate of change is 3/4.
Therefore, the equation that describes the baby's weight is y = 3/4x + 8.