Respuesta :

To find the distance between two points on a coordinate plane, we can apply the distance formula.

[tex]\sqrt{(x.2 - x.1)^{2} + (y.2 - y.1)^{2}}[/tex]

√((2 - 0)² + (3 - 6)²)

√(4 + 9)

√13

The distance between the two points is √13.

The distance is given by 3.6 units.

How to find distance between two points?

  • Distance can be found by joining the two coordinates of points through a line segment on the graph.
  • Mathematically it can also be found by calculating with the distance formula.

Given: Two points

A = (x₁, y₁) = (0, 6)

B = (x₂, y₂) = (2, 3)

We have to find the distance between two points (0, 6) and (2, 3).

The distance between two points is given by:

⇒ AB = [tex]\sqrt{(x_{2}-x_1)^2+(y_2-y_1)^2 }[/tex]

⇒ AB = [tex]\sqrt{(2-0)^2+(3-6)^2}[/tex]

⇒ AB = [tex]\sqrt{2^2+(-3)^2}[/tex]

⇒ AB = [tex]\sqrt{4+9[/tex]

AB = [tex]\sqrt{13}[/tex]

AB = 3.6 units

Therefore, the distance between the points (0, 6) and (2, 3) is  3.6 units.

Learn more about the distance between two points here: https://brainly.com/question/24190898

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