Melanie and tracy are each finding the equation of the trend line that fits the data in the table below. melanie uses the ordered pairs (2010, 48) and (2013, 59) to find her equation. tracy defines x as the number of years since 2010 and uses the ordered pairs (0, 48) and (3, 59) to find her equation. how will the two girls’ equations compare?

Melanie:  (2010, 48) and (2013, 59)
Equation will be
y = (59-48)/(2013-2010) * (x - 2010) + 48
>> y = (11/3) * (x - 2010) + 48
>> y = (11/3)x - (11/3)*2010 + 48
>> y = (11/3)x - 7370 + 48 
>> y = (11/3)x - 7322 

Tracy:  (0, 48) and (3, 59)
Equation will be
y = (59-48)/(3-0) * (x - 0) + 48
>> y = (11/3) * x + 48
>> y = (11/3)x + 48 

The slopes of both the equations are same, but y-intercept are different. Because Melanie used actual years (variable x), whereas Tracy used years since 2010.

1st question: 2.07

2nd question: 3.16

3rd question: 4.11

4th question: 4.92

Explanation: just took the motion lab on edg so I hope this helps someone