Answer:
D. (5, 4)
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 D. (5, 4)
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: (5, 4)
And we got the same answer: D. (5, 4)
I hope this helps!
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