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The coordinates of point A are (-6,4). The coordinates of point B are (3,4). Which expression represents the distance, in units, between A and B?

The coordinates of point A are 64 The coordinates of point B are 34 Which expression represents the distance in units between A and B class=

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gmany

Answer:

(A) |-6| + |3|

Step-by-step explanation:

A(-6, 4). B(3, 4)

The second coordinate of points is the same. Therefore, the distance between these points is equal to the absolute value of the difference between the first coordinates.

|3 - (-6)| = |3 + 6| = |9| = 9

Therefore it's |-6| + |3| = 6 + 3 = 9

Distance between points [tex]A,B[/tex] is (A) [tex]\left | -6 \right |+\left | 3 \right |[/tex] units

According to the distance formula, distance between points [tex]\boldsymbol{\mathbf{(x_1,y_1),(x_2,y_2)}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]

[tex](x_1,y_1)=A(-6,4)[/tex]

[tex](x_2,y_2)=B(3,4)[/tex]

Distance between points [tex]A,B=\sqrt{(3+6)^2+(4-4)^2}[/tex]

                                                  [tex]=9[/tex] units

Also,

[tex]\left | -6 \right |+\left | 3 \right |=6+3[/tex]

               [tex]=9[/tex]

So, distance between points [tex]A,B=\left | -6 \right |+\left | 3 \right |[/tex] units

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