College Math Placement Practice Test 2026 - Free College Math Questions and Study Guide

Question: 1 / 400

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

2

3

√18 or 3√2

To find the distance between the two points (1, 2) and (4, 6), we can use the distance formula, which is derived from the Pythagorean theorem. The formula is given by:

\[

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

\]

Here, \((x_1, y_1) = (1, 2)\) and \((x_2, y_2) = (4, 6)\).

Now, we can substitute the values into the formula:

1. Calculate the differences in the x-coordinates and y-coordinates:

- \(x_2 - x_1 = 4 - 1 = 3\)

- \(y_2 - y_1 = 6 - 2 = 4\)

2. Plug these differences into the distance formula:

\[

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

\]

3. Simplify the squares:

\[

d = \sqrt{9 + 16} = \sqrt{25}

\]

4. The square root of 25 is:

\

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√25

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