Answer:
<u>D. (5, 4)</u>
Step-by-step explanation:
First, we need to know how coordinate [order] pair works.
(x, y)
That means, (5, 4) is 5 unit on the x-axis and 4 unit on the y-axis.
East means to the right on the graph (+) ;
South means going downward on the graph (-) ;
West means to the left on the graph (-) ;
North means going upward on the graph (+) .
So first, (5, 4) 5 units east meaning that we are moving the x-axis and moving right. 5 [in the order pair] + 5 [unit east] = 10
After the first step, we have (10, 4)
Moving (10, 4) 4 units south meaning that we are moving the y-axis and moving downward on the graph. 4 [in order pair] - 4 [unit south] = 0
After the second step, we have (10, 0)
Moving (10, 0) 4 units west meaning that we are moving the x-axis again and moving left this time. 10 [in order pair] - 4 [unit west] = 6
After the third step, we have (6, 0)
Moving (6, 0) 4 units north meaning that we are moving the y-axis again and moving upward on the graph. 0 [in order pair] + 4 [unit north] = 4
After the forth step, we have (6, 4)
Moving (6, 4) 1 unit west meaning that we are moving the x-axis again and moving left. 6 [in order pair] - 1 [unit west] = 5
After the final step, we have (5, 4)
Therefore, the answer to this question is <u>D. (5, 4)</u>
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Though there is an easier version of this, which require some brain to do, but here's how-
Same above, we need to know that east and west moves sideways (east use +, west use -)
And north and south moves up and down (north use +, south use -)
And then we need to sort out how many steps moves sideways and how many steps moves up & down.
5 units east, 4 units west, and 1 unit west. And we put this in an equation for the x-axis. 5 [original] +5 [units east] -4[units west] -1[units west] = 5
Which would still get us 5 for the x-axis.
4 units south and 4 units north balanced out, which still is 4 for the y-axis.
Put the order pair together: <u>(5, 4)</u>
And we got the same answer: <u>D. (5, 4)</u>
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I hope this helps!
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Have a great day!