What is the distance between the points (3, 4) and (7, 1)?

What is the distance between the points (3, 4) and (7, 1)?

• A. 4
• B. 5
• C. 6
• D. 7

Answer: (B)

To determine the distance between the points (3, 4) and (7, 1), you can use the distance formula, which is derived from the Pythagorean theorem. The distance formula is expressed as: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] In this case, assign the coordinates of the points as follows: - \((x_1, y_1) = (3, 4)\) - \((x_2, y_2) = (7, 1)\) Plugging these values into the formula, you calculate: 1. Find \(x_2 - x_1\): \(7 - 3 = 4\) 2. Find \(y_2 - y_1\): \(1 - 4 = -3\) 3. Square both differences: \((4)^2 = 16\) \((-3)^2 = 9\) 4. Add the squared differences: \(16 + 9 = 25\) 5. Take the square root of the sum: \(\sqrt{25} =

To determine the distance between the points (3, 4) and (7, 1), you can use the distance formula, which is derived from the Pythagorean theorem. The distance formula is expressed as:

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

In this case, assign the coordinates of the points as follows:

• ((x_1, y_1) = (3, 4))

• ((x_2, y_2) = (7, 1))

Plugging these values into the formula, you calculate:

1. Find (x_2 - x_1):

(7 - 3 = 4)

2. Find (y_2 - y_1):

(1 - 4 = -3)

3. Square both differences:

((4)^2 = 16)

((-3)^2 = 9)

4. Add the squared differences:

(16 + 9 = 25)

5. Take the square root of the sum:

(\sqrt{25} =