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distance between points: vertical or horizontal point m is located at (…

Question

distance between points: vertical or horizontal
point m is located at (-6, 6).

Explanation:

Response
  1. Explanation:
  • **Step 1: Identify the coordinates of another point (assume we want to find distance to point B). Let's say point B has coordinates (-6, 1) (from the graph). Since the x - coordinates of both points are the same (-6), we are dealing with a vertical distance.
  • The formula for the distance \(d\) between two points \((x_1,y_1)\) and \((x_2,y_2)\) when \(x_1 = x_2\) is \(d=\vert y_1 - y_2\vert\). Here, \(x_1=x_2=-6\), \(y_1 = 6\) (co - ordinate of point M) and \(y_2 = 1\) (co - ordinate of point B).
  • \(d=\vert6 - 1\vert\)
  • Step 2: Calculate the absolute - value:
  • \(\vert6 - 1\vert=\vert5\vert = 5\)
  1. Answer:
  • 5

Answer:

  1. Explanation:
  • **Step 1: Identify the coordinates of another point (assume we want to find distance to point B). Let's say point B has coordinates (-6, 1) (from the graph). Since the x - coordinates of both points are the same (-6), we are dealing with a vertical distance.
  • The formula for the distance \(d\) between two points \((x_1,y_1)\) and \((x_2,y_2)\) when \(x_1 = x_2\) is \(d=\vert y_1 - y_2\vert\). Here, \(x_1=x_2=-6\), \(y_1 = 6\) (co - ordinate of point M) and \(y_2 = 1\) (co - ordinate of point B).
  • \(d=\vert6 - 1\vert\)
  • Step 2: Calculate the absolute - value:
  • \(\vert6 - 1\vert=\vert5\vert = 5\)
  1. Answer:
  • 5