Respuesta :

Answer:

[tex]2 \sqrt{10} \: units[/tex]

Step-by-step explanation:

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The distance between the points be "2√10 units".

Equation of line

According to the question,

Points are:

(x₁, y₁) = (-2, 1)

(x₂, y₂) = (4, 3)

We know the formula,

Distance between two points,

D = [tex]\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

By substituting the values, we get

      = [tex]\sqrt{(4-(-2))^2+(3-1)^2}[/tex]

      = [tex]\sqrt{(4+2)^2+(2)^2}[/tex]

By solving the squares, we get

      = [tex]\sqrt{36+4}[/tex]

      = √40

      = 2√10 units

Thus the above answer is appropriate.

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