Question

point c has the coordinates (-1, 4) and point d has the coordinates (2, 0). what is the distance between points c and d?
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
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Explanation:

Step1: Identify coordinates

Point C: \((x_1, y_1) = (-1, 4)\), Point D: \((x_2, y_2) = (2, 0)\)

Step2: Apply distance formula

Substitute into \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\):
\(x_2 - x_1 = 2 - (-1) = 3\), \(y_2 - y_1 = 0 - 4 = -4\)
\(d = \sqrt{(3)^2 + (-4)^2} = \sqrt{9 + 16} = \sqrt{25}\)

Step3: Simplify

\(\sqrt{25} = 5\)

Answer:

5