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The coordinates of the point 
F are 
(-9,-1) and the coordinates of point 
G are 
(-9,5). What is the distance, in units, between the point 
F and point 
G ?
Answer: units

The coordinates of the point F F are (9,1) (-9,-1) and the coordinates of point G G are (9,5) (-9,5) . What is the distance, in units, between the point F F and point G G ?\newlineAnswer: \square units

Full solution

Q. The coordinates of the point F F are (9,1) (-9,-1) and the coordinates of point G G are (9,5) (-9,5) . What is the distance, in units, between the point F F and point G G ?\newlineAnswer: \square units
  1. Identify Coordinates: Identify the coordinates of points F and G. Point F has coordinates (9,1)(-9, -1) and point G has coordinates (9,5)(-9, 5). Since the xx-coordinates of both points are the same, we can determine that these points are vertically aligned on the coordinate plane.
  2. Calculate Distance: Calculate the distance between the two points.\newlineThe distance between two points with the same xx-coordinate can be found by taking the absolute difference of their yy-coordinates. This is because they form a vertical line segment on the coordinate plane.\newlineDistance = y2y1|y_2 - y_1|
  3. Substitute Coordinates: Substitute the yy-coordinates of points FF and GG into the distance formula.\newlineDistance = 5(1)|5 - (-1)|
  4. Simplify Expression: Simplify the expression to find the distance.\newlineDistance = 5+1|5 + 1|\newlineDistance = 6|6|\newlineDistance = 66 units

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