If point E(1, 1) and point F(4, 5) are the endpoints of a line segment, what is

If point E(1, 1) and point F(4, 5) are the endpoints of a line segment, what is the length of EF?

If point E(1, 1) and point F(4, 5) are the endpoints of a line segment, what is the length of EF?

Step 1: Identify the coordinates of point E, which are (1, 1).
Step 2: Identify the coordinates of point F, which are (4, 5).
Step 3: Use the distance formula, which is d = √((x2 - x1)² + (y2 - y1)²).
Step 4: Substitute the coordinates into the formula: d = √((4 - 1)² + (5 - 1)²).
Step 5: Calculate (4 - 1) which equals 3, and (5 - 1) which equals 4.
Step 6: Square the results: (3)² = 9 and (4)² = 16.
Step 7: Add the squared results together: 9 + 16 = 25.
Step 8: Take the square root of 25: √25 = 5.
Step 9: The length of line segment EF is 5.

Distance Formula – The distance between two points (x1, y1) and (x2, y2) in a Cartesian plane is calculated using the formula d = √((x2 - x1)² + (y2 - y1)²).