What is the distance between the points (1, 2) and (4, 6)?

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Multiple Choice

What is the distance between the points (1, 2) and (4, 6)?

Explanation:
To find the distance between the points (1, 2) and (4, 6), you can use the distance formula, which is given by: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] Here, \((x_1, y_1)\) is the first point (1, 2) and \((x_2, y_2)\) is the second point (4, 6). Plugging in these coordinates into the formula: 1. Calculate \(x_2 - x_1\): \[ 4 - 1 = 3 \] 2. Calculate \(y_2 - y_1\): \[ 6 - 2 = 4 \] 3. Now substitute these values into the distance formula: \[ d = \sqrt{(3)^2 + (4)^2} \] \[ d = \sqrt{9 + 16} \] \[ d = \sqrt{25} \] \[ d = 5 \] Thus, the distance between the points (1, 2) and (

To find the distance between the points (1, 2) and (4, 6), you can use the distance formula, which is given by:

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

Here, ((x_1, y_1)) is the first point (1, 2) and ((x_2, y_2)) is the second point (4, 6). Plugging in these coordinates into the formula:

  1. Calculate (x_2 - x_1):

[ 4 - 1 = 3 ]

  1. Calculate (y_2 - y_1):

[ 6 - 2 = 4 ]

  1. Now substitute these values into the distance formula:

[ d = \sqrt{(3)^2 + (4)^2} ]

[ d = \sqrt{9 + 16} ]

[ d = \sqrt{25} ]

[ d = 5 ]

Thus, the distance between the points (1, 2) and (

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