The coordinates of the point P are (1,−1) and the coordinates of point Q are (10,−1). What is the distance, in units, between the point P and point Q?Answer: □ units
Q. The coordinates of the point P are (1,−1) and the coordinates of point Q are (10,−1). What is the distance, in units, between the point P and point Q?Answer: □ units
Identify Coordinates: Identify the coordinates of points P and Q. Point P has coordinates (1,−1) and point Q has coordinates (10,−1). We can see that the y-coordinates of both points are the same, which means that the line segment connecting P and Q is horizontal.
Use Distance Formula: Use the distance formula for points on a horizontal line.The distance between two points on a horizontal line is the absolute difference between their x-coordinates. The distance formula is ∣x2−x1∣, where (x1,y1) and (x2,y2) are the coordinates of the two points.
Calculate Distance: Calculate the distance using the x-coordinates of P and Q. Substitute x1 with 1 (from point P) and x2 with 10 (from point Q) into the distance formula. Distance = ∣10−1∣=∣9∣=9
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