Question

Melanie and Tracy are each finding the equation of the trend line that fits the data in the table below.

Participation in the School Band
Year
Number of students
2010
48
2011
52
2012
55
2013
59

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?
They will have the same slopes and the same y-intercepts.
They will have the same slopes but different y-intercepts.
They will have different slopes but the same y-intercepts.
They will have different slopes and different y-intercepts.

Answer 1

B) They will have the same slopes but different y-intercepts.

Explanation:

I got 100% :>

Answer 2

• B. They will have the same slopes but different y-intercepts.

Explanation:

Melanie

The slope:

• m = (59 - 48)/(2013 - 2010) = 11/3

The y -intercept:

• the starting point, 2010

The equation off the line:

• y = 11/3x + 2010

Tracy

The slope:

• m = (59 - 48)/(3 - 0) = 11/3

The y -intercept:

• the starting point, 0

The equation off the line:

• y = 11/3x

As we see they get same slopes but different y-intercepts.

Correct choice is B