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
Q. 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
Identify Coordinates: Identify the coordinates of points F and G. Point F has coordinates (−9,−1) and point G has coordinates (−9,5). Since the x-coordinates of both points are the same, we can determine that these points are vertically aligned on the coordinate plane.
Calculate Distance: Calculate the distance between the two points.The distance between two points with the same x-coordinate can be found by taking the absolute difference of their y-coordinates. This is because they form a vertical line segment on the coordinate plane.Distance = ∣y2−y1∣
Substitute Coordinates: Substitute the y-coordinates of points F and G into the distance formula.Distance = ∣5−(−1)∣
Simplify Expression: Simplify the expression to find the distance.Distance = ∣5+1∣Distance = ∣6∣Distance = 6 units
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