In a coordinate plane, what is the distance between the points (3, 4) and (7, 1)

In a coordinate plane, what is the distance between the points (3, 4) and (7, 1)?

In a coordinate plane, what is the distance between the points (3, 4) and (7, 1)?

Step 1: Identify the coordinates of the two points. The first point is (3, 4) and the second point is (7, 1).
Step 2: Label the coordinates. Let (x1, y1) = (3, 4) and (x2, y2) = (7, 1).
Step 3: Use the distance formula: Distance = √((x2 - x1)² + (y2 - y1)²).
Step 4: Substitute the values into the formula: Distance = √((7 - 3)² + (1 - 4)²).
Step 5: Calculate (7 - 3) which equals 4, and (1 - 4) which equals -3.
Step 6: Square the results: (4)² = 16 and (-3)² = 9.
Step 7: Add the squared results: 16 + 9 = 25.
Step 8: Take the square root of the sum: √25 = 5.
Step 9: Conclude that the distance between the points (3, 4) and (7, 1) is 5 units.

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