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Point Q is located at (-4,6). Point R is located at (8,6). What is the distance from point Q to point R ?

Point Q Q is located at (−4,6) (-4,6) . Point R R is located at (8,6) (8,6) .\newlineWhat is the distance from point Q Q to point R R ?

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Find the length of the transverse or conjugate axes of a hyperbolaright chevron icon

Full solution

Q. Point Q Q is located at (−4,6) (-4,6) . Point R R is located at (8,6) (8,6) .\newlineWhat is the distance from point Q Q to point R R ?
  1. Identify Coordinates: Identify the coordinates of points QQ and RR. Point QQ is at (−4,6)(-4, 6) and Point RR is at (8,6)(8, 6).
  2. Recognize Same Y-coordinate: Recognize that the points share the same yy-coordinate.\newlineSince both points have a yy-coordinate of 66, they lie on a horizontal line.
  3. Use Distance Formula: Use the distance formula for points on a horizontal line.\newlineThe distance between two points on a horizontal line is the absolute difference between their x-coordinates.\newlineDistance = ∣x2−x1∣|x_2 - x_1|
  4. Substitute X-coordinates: Substitute the xx-coordinates of points QQ and RR into the distance formula.\newlineDistance = ∣8−(−4)∣|8 - (-4)|
  5. Calculate Absolute Difference: Calculate the absolute difference.\newlineDistance = ∣8+4∣|8 + 4|\newlineDistance = ∣12∣|12|
  6. Simplify Absolute Value: Simplify the absolute value. \newlineDistance = 1212

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