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Find the distance between the following sets of points: a. (2, −4) and (2, 3) b. (−3, −2) and (−3, 0) c. (1, 4) and (−5, 4) d. (−2, 0) and (−3, 0) e. (4, −6) and (4, −2) f. (5, 1) and (1, 1)

User Alexandr T
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24 votes

Answer:

Explanation:

Distance between set of points parallel to x-axis and y-axis.

a) (2,-4) and (2 , 3)

In these two points the x-coordinate are same. So, the distance between the points are given by the absolute value of difference between the y-coordinate.

Distance = I -4-3 I = I -7I = 7 units

b) (-3,-2) and (-3,0)

In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.

Distance = I-2 -0 I = I -2 I = 2 units

c) (1,4) and (-5,4)

In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.

Distance = I 1 - (-5) I = I 1 + 5 I = I 6 I = 6

d) (-2,0) and (-3,0)

In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.

Distance = I -2 - (-3) I = I -2 + 3 I = I 1 I = 1 unit

e) (4,-6) and (4,-2)

In these two points the x-coordinate are same. So, the distance between the points are given by the absolute value of difference between the y-coordinate.

Distance = I -6 - (-2) I = I -6 + 2 I = I-4 I = 4 units

f) (5,1) and (1 , 1)

In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.

Distance= I5 - 1 I = I 4 I = 4 units

User Crazy Yoghurt
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