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.
Step-by-step explanation:
To determine the equation of the line parallel to , we need to first determine the slope of the given line.
A line in slope-intercept form is represented by the following:
where is the slope of the line and is the y-intercept.
Rearranging the given line will give us the slope of the line:
From this, since we know the lines are parallel, if the slope of the given line is , then the slope of the line we are constructing must also be .
We can now start to construct the line with the same slope-intercept form:
To determine the y-intercept, , we can plug in the point since we are told from the problem statement that this parallel line runs through it:
Finally, we have our parallel line:
If this line needs to be in standard form, we can rearrange it a little:
B. 64
C. 80
D. 89