Question

The coordinates of point A are (-6, 4). The coordinates of point B are (3, 4). Which expression represents the distance, in units, between points A and B? *
1. l-6l + l3l
2. l3l - l-6l
3. l-6l + l-4l
4. l4l - l-6l
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Answer 1

(A) |-6| + |3|

___________

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

Answer 2

Answer: 1. |-6| + |3| = 9 Units

Step-by-step explanation: To figure out the distance between two points on a coordinate plane, we first need to think about the quadrants. If they are both in the same quadrant, we SUBTRACT. If not, we add. Since point A is in Quadrant II and point B in Quadrant I, we have to add.

(-6, 4)

(3, 4)

So, the answer to this question would be, |-6| + |3| = 9 Units.

Hope this helped! ;)