contestada

Find the distance between the points in a coordinate plane. Write your answer as a decimal.

$\left(-4,7.8\right),\left(-4,-3.5\right)$

The distance between the points is
.

Respuesta :

The distance between the two points is 11.3 units.

Given:

[tex](-4,7.8) \\(-4,-3.5)[/tex]

Apply the distance formula given as:

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

Let,

[tex](-4,7.8) = (x_1, y_1)\\(-4,-3.5) = (x_2, y_2)[/tex]

Plug in the values

[tex]d = \sqrt{(-3.5 -7.8)^2 + (-4 -(-4))^2 }\\[/tex]

[tex]d = \sqrt{(-11.3)^2 + (0)^2 }\\d = \sqrt{127.69} \\d = 11.3[/tex]

Therefore, the distance between the two points in a coordinate plane is 11.3 units.

Learn more about distance on a coordinate plane here:

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