Mathematics ACT Aspire Practice Test 2026 – Complete Study Resource

Question: 1 / 400

What is the distance between the points (1, 1) and (4, 5)?

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To find the distance between the two points (1, 1) and (4, 5), you can use the Distance Formula, which is derived from the Pythagorean Theorem. The Distance Formula states that the distance \(d\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) can be calculated as:

\[

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

\]

In this case, the coordinates of the first point are \( (x_1, y_1) = (1, 1) \) and the coordinates of the second point are \( (x_2, y_2) = (4, 5) \).

Substituting the values into the formula, we find:

\[

d = \sqrt{(4 - 1)^2 + (5 - 1)^2}

\]

Calculating further:

\[

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

\]

\[

d = \sqrt{9 + 16}

\]

\[

d =

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