Question

What is the distance between two points located at (1,6) and (4,-6) on a coordinate grid?

Answer 1

Using the distance formula you’ll get 3sqrt17 as your answer.

Answer 2

The distance between two points located at (1, 6) and (4, -6) on a coordinate grid 12.37 units.

What is the distance between two points?

The distance between two points $(x_1,y_1),(x_2,y_2)$ is,

$d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

For given example,

Let given points are:

$(x_1,y_1)=(1,6)\\\\(x_2,y_2)=(4,-6)$

Using distance formula,

$\Rightarrow d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\\\\\Rightarrow d=\sqrt{(4-1)^2 + (-6-6)^2}\\\\ \Rightarrow d=\sqrt{(3)^2 + (-12)^2}\\\\ \Rightarrow d=\sqrt{9 +144}\\\\ \Rightarrow d=\sqrt{153} \\\\\Rightarrow \bold{d=12.37~units}$

Therefore, the distance between two points located at (1, 6) and (4, -6) on a coordinate grid 12.37 units.

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