Distance Formula

The Distance Formula is given by: $$d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}$$ .

To find the distance, use the formula: $$d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}$$ .

The distance is $$d = \sqrt{(1 - 2)^{2} + (5 - 9)^{2}} = \sqrt{1 + 16} = \sqrt{17} \approx 4.12$$ .

The distance is $$d = \sqrt{(8 - (-3))^{2} + (-42 - (-11))^{2}} = \sqrt{(11)^{2} + (-31)^{2}} = \sqrt{121 + 961} = \sqrt{1082} \approx 32.9$$ .

The correct expression is $$d = \sqrt{((-3) - 7)^{2} + (5 - (-2))^{2}}$$ .

The expression is $$d = \sqrt{((-3) - (-6))^{2} + ((-7) - (-4))^{2}}$$ .

The Distance Formula is used to calculate the straight-line distance between two points in a coordinate plane.

If point A is (x, y), then $$d = \sqrt{(x + 6)^{2} + (y + 4)^{2}} = 5$$ .

The distance is $$d = \sqrt{(3 - 0)^{2} + (4 - 0)^{2}} = \sqrt{9 + 16} = \sqrt{25} = 5$$ .

In the Distance Formula, $$x_{1}, y_{1}$$ are the coordinates of the first point, and $$x_{2}, y_{2}$$ are the coordinates of the second point.