Given Coordinates: x1 = 7 y1 = 2, x2 = -1 y2 = 4
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-1 − 7)2 + (4 − 2)2
d = √(-8)2 + 22
d = √64 + 4
d = √68
d = √4 * 17
d = √4 * √17
d = 2√17
Therefore, the distance between the points (7, 2) and (-1, 4) is equal to 2√17
Note: As a decimal number, 2√17 ≈ 8.2462112512353
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-1 − 7)2 + (4 − 2)2
d = √(-8)2 + 22
d = √64 + 4
d = √68
d = √4 * 17
d = √4 * √17
d = 2√17
Therefore, the distance between the points (7, 2) and (-1, 4) is equal to 2√17
Note: As a decimal number, 2√17 ≈ 8.2462112512353
