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Question 1042761: Jaxon and Isaac live different directions from the city center. Jaxon lives 10 blocks east and 5 blocks north. Isaac lives 8 blocks west and 15 blocks south.
a. The city center is the origin. What would the coordinates be for Jaxon and Isaac? What quadrant would each of them live in?
b. If Jaxon and Isaac wanted to ride bikes to each other’s house, how far would it be to travel one way?
c. If they decide to meet in the middle and then ride to Jaxon’s house, how far would it be? What would the coordinate be for the middle?
d. If the city blocks were overlaid on a coordinate grid, what would be the slope of the straight line that would connect Jaxon’s home to Isaac’s home? Would it be horizontal, vertical or neither?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Jaxon lives at (10,5), Q1
Isaac livs at (-8,-15), Q3
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The distance is the square root of the difference of the x values squared added to the difference of the y values squared.
The x-values are 18 apart, and that squared is 324. The y-values are 20 apart, and that squared is 400.
The square root of their sum is sqrt (724), which is 26.91 units.
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To find the middle, average the x values and average the y-values. It would be (1,-5), or 1 unit east and 5 units south.
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The slope of the line is the difference between the y divided by the difference between the x.
That is (5-(-15))/(10-(-8))=20/18=10/9, so the answer is neither.
y-5=(10/9)(x-10)
y=(10/9)x-(55/9)
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