Given Coordinates: x1 = -1 y1 = -6, x2 = 7 y2 = 2
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(7 − (-1))2 + (2 − (-6))2
d = √(7 + 1)2 + (2 + 6)2
d = √82 + 82
d = √64 + 64
d = √128
d = √64 * 2
d = √64 * √2
d = 8√2
Therefore, the distance between the points (-1, -6) and (7, 2) is equal to 8√2
Note: As a decimal number, 8√2 ≈ 11.313708498985
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(7 − (-1))2 + (2 − (-6))2
d = √(7 + 1)2 + (2 + 6)2
d = √82 + 82
d = √64 + 64
d = √128
d = √64 * 2
d = √64 * √2
d = 8√2
Therefore, the distance between the points (-1, -6) and (7, 2) is equal to 8√2
Note: As a decimal number, 8√2 ≈ 11.313708498985
