College Math Placement Practice Test

Question: 1 / 400

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

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To find the distance between the points (1, 2) and (4, 6), you can use the distance formula derived from the Pythagorean theorem. The distance \(d\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:

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

In this case, the coordinates of the points are:

- \( (x_1, y_1) = (1, 2) \)

- \( (x_2, y_2) = (4, 6) \)

Substituting these values into the distance formula:

1. Calculate the differences:

\[

x_2 - x_1 = 4 - 1 = 3

\]

\[

y_2 - y_1 = 6 - 2 = 4

\]

2. Square these differences:

\[

(x_2 - x_1)^2 = 3^2 = 9

\]

\

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