(on this! 32 points! )

it is recommended that you work this out on graph paper to answer the questions. nina plots the locations of 4 places on a coordinate grid as given below (it is recommended that you work this out on graph paper to answer the questions.):

her house is at (−4, 10).
her school is at (−4, 3).
the community center is at (2, 3).
the grocery store is at (−4, −6).

part a: use absolute values to calculate the distance in units from nina's house to her school. show your work. (4 points)

part b: is the total distance from nina's house to the school to the grocery store greater than the total distance from nina's house to the school to the community center? justify your answer. (6 points)