The coordinates of the point Q are (-7,-8) and the coordinates of point R are (-7,0). What is the distance, in units, between the point Q and point R?



Answer :

The distance between the points Q and R is found to be 8 units.

What is defined as the distance formula?

Algebraic expression that provides the distances between two points as a function of their coordinates (like coordinate system).

  • The distance equations for points in rectangular coordinates in two- and three-dimensional Euclidean space are based on the Pythagorean theorem.
  • A line segment can be graphed both in two-dimensional & three-dimensional coordinate planes because it has a starting and stopping point.
  • The two-dimensional coordinate plane allows the starting and stopping points to also be labeled as two-dimensional coordinates (x₁, y₁) and (x₂, y₂), respectively, resulting in the distance formula as:                d = √(x₂ - x₁)² + (y₂ - y₁)².

Now, as per the stated question;

The coordinates of the points Q and R are given as;

Q = (x₁, y₁) = (-7,-8)

And, R = (x₂, y₂) = (-7,0)

Now, substitute the values in the distance formula;

QR = √(-7 - (-7))² + (0 - (-8))²

QR = √(0)² + (8)²

QR = 8

Therefore, the distance between the points Q and R is calculated as 8 units.

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