Given Coordinates: x1 = -2 y1 = 2, x2 = 8 y2 = 12
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(8 − (-2))2 + (12 − 2)2
d = √(8 + 2)2 + (12 − 2)2
d = √102 + 102
d = √100 + 100
d = √200
d = √100 * 2
d = √100 * √2
d = 10√2
Therefore, the distance between the points (-2, 2) and (8, 12) is equal to 10√2
Note: As a decimal number, 10√2 ≈ 14.142135623731
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(8 − (-2))2 + (12 − 2)2
d = √(8 + 2)2 + (12 − 2)2
d = √102 + 102
d = √100 + 100
d = √200
d = √100 * 2
d = √100 * √2
d = 10√2
Therefore, the distance between the points (-2, 2) and (8, 12) is equal to 10√2
Note: As a decimal number, 10√2 ≈ 14.142135623731
