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# Each of the following graphs shows two ordered pairs (x,y). Find △x and △y from the point on the left ti the point on the right. [Graphs] # Each of the following graphs shows two ordered pairs (x,y). Find △x and △y from the point on the left ti the point on the right. [Graphs]

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Linear equations and graphs asked 2020-11-01
Each of the following graphs shows two ordered pairs (x,y). Find △x and △y from the point on the left ti the point on the right. [Graphs]

## Answers (1) 2020-11-02
(a) In figure point A is in the fourth quadrant In the fourth quadrant X is positive and Y is negative .So the coordinate of A is (4,−3) In figure point B is in the third quadrant .In the third quadrant X is negative and Y is also negative.So the coordinate of B is (−3,−1)
$$\displaystyle△{x}={x}{2}−{x}{1}$$
$$\displaystyle△{x}=−{3}−{4}=−{7}$$
$$\displaystyle△{y}={y}{2}−{y}{1}$$
$$\displaystyle△{y}=−{1}−{\left(−{3}\right)}=−{1}+{3}={2}$$
(b) In figure point A is in the first quadrant In the first quadrant X is positive and Y is also positive .So the coordinate of A is (2,1) In figure point B is in the second quadrant .In the second quadrant X is negative and Y is also positive .So the coordinate of B is (−4,3)
$$\displaystyle△{x}={x}{2}-{x}{1}$$
$$\displaystyle△{x}=−{4}−{2}=−{6}$$
$$\displaystyle△{y}={y}{2}−{y}{1}$$
$$\displaystyle△{y}={3}−{1}={2}$$

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