Ace the GED Math Test 2025 – Conquer Numbers and Unlock Your Future!

Question: 1 / 400

Calculate the distance between the points (1, 2) and (4, 6).

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To find the distance between two points in a two-dimensional plane, we can use the distance formula, which is derived from the Pythagorean theorem. The distance \( d \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by the formula:

\[

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

\]

For the points (1, 2) and (4, 6):

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

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

Now, we can plug these values 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 differences into the distance formula:

\[

d = \sqrt{(3)^2 +

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