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

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

Step2: Apply distance formula

Use \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \).
Substitute values: \( x_2 - x_1 = 2 - (-1) = 3 \), \( y_2 - y_1 = 0 - 4 = -4 \).

Step3: Calculate squares

\( 3^2 = 9 \), \( (-4)^2 = 16 \).

Step4: Sum and take square root

Sum: \( 9 + 16 = 25 \). Square root: \( \sqrt{25} = 5 \).

Answer:

5