a taxicab starts at (1 -2) on the grid it goes 3 blocks west and 4 blocks north to pick up a passenger then it goes 8 blocks east and 1 block south and drops off the passenger. which rule will bring the taxicab back to its starting position?

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a) x-3, y-5
b) x-5, y-3
c) x+3, y+5
d) x+5, y+3

- anonymous

Someone help me]x

- anonymous

have you tried to map this path?

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- anonymous

im working on it as we speak

- anonymous

cool.

- anonymous

draw a graph with x and y dimensions, with 1 unit intervals

- anonymous

|dw:1443655015074:dw|

- anonymous

i labelled it as 's' for starting

- anonymous

The ending point i came up with was 6, 1. So if the starting point was 1, -2, would i subtract the coordinates? Thats were I got lost

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- anonymous

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- anonymous

cool, so your process is right. let me draw the end position on my thing now.

- anonymous

Alright sounds good

- anonymous

|dw:1443655350248:dw|

- anonymous

so we have start and end points right?

- anonymous

Yes. Start point was 1,-2 and the end point was 6, 1

- anonymous

awesome. now how many blocks in the y direction (south direction) do we need to reach the same horizontal line as where its starting point was?

- anonymous

I have a feeling the answer is 5, -3 unless my mathmatical skills just suck

- anonymous

|dw:1443655557136:dw|

- anonymous

3 blocks in the y direction?

- anonymous

up or down?

- anonymous

did you go 3blocks up from the end point, or 3 blocks down from the end point?

- anonymous

Down, or south

- anonymous

good or -3 units in the y-direction, right?

- anonymous

going up we always take positive steps, and going down we take negative steps.

- anonymous

its like a vertical number line!

- anonymous

Correct. And 5 units west on the x line or whatever to get back to the starting point. So sense it goes "west" it would be a negative outcome, correct?

- anonymous

well to confirm your thoughts, if i had a number line, and i started at 1, how do you end up at 0. we subtract 1 right? hence we go -1 units.
so yes, for this example, we will go -3 units in the y direction and -5 units in the x direction

- anonymous

Wonderful, thank you so much for your help

- anonymous

no problem! try and break the problem down in simple steps so you don't get yourself confused! woodwork

- anonymous

goodwork*

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