Respuesta :
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.
To know more about the distance formula, here
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