Using the distance formula,
\[d = \sqrt{((-6)-(-8))^2 + ((4)-(6))^2} = \sqrt{(2)^2 + (-2)^2} = \sqrt{4 + 4} = \boxed{2\sqrt{2}}.\]
What is the distance between
\[(-6, 4)\] and
\[(-8, 6)\]?
3 answers
What is the distance between
(-6, 4) and
(-8, 6)?
(-6, 4) and
(-8, 6)?
To find the distance between two points \((x_1, y_1)\) and \((x_2, y_2)\), you can use the distance formula, which is derived from the Pythagorean theorem.
The distance formula is given by:
\[d = \sqrt{{(x_2 - x_1)}^2 + {(y_2 - y_1)}^2}\]
Let's use this formula to find the distance between \((-6, 4)\) and \((-8, 6)\).
Using the formula, we have:
\[d = \sqrt{{(-8 - (-6))}^2 + {(6 - 4)}^2}\]
\[d = \sqrt{{(-8 + 6)}^2 + {(6 - 4)}^2}\]
\[d = \sqrt{{(-2)}^2 + {(2)}^2}\]
\[d = \sqrt{{4 + 4}}\]
\[d = \sqrt{8}\]
Therefore, the distance between \((-6, 4)\) and \((-8, 6)\) is \(\sqrt{8}\) or approximately \(\boxed{2.83}\).
The distance formula is given by:
\[d = \sqrt{{(x_2 - x_1)}^2 + {(y_2 - y_1)}^2}\]
Let's use this formula to find the distance between \((-6, 4)\) and \((-8, 6)\).
Using the formula, we have:
\[d = \sqrt{{(-8 - (-6))}^2 + {(6 - 4)}^2}\]
\[d = \sqrt{{(-8 + 6)}^2 + {(6 - 4)}^2}\]
\[d = \sqrt{{(-2)}^2 + {(2)}^2}\]
\[d = \sqrt{{4 + 4}}\]
\[d = \sqrt{8}\]
Therefore, the distance between \((-6, 4)\) and \((-8, 6)\) is \(\sqrt{8}\) or approximately \(\boxed{2.83}\).
0 answers