Given Coordinates: x1 = -12 y1 = 4, x2 = 10 y2 = 8
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(10 − (-12))2 + (8 − 4)2
d = √(10 + 12)2 + (8 − 4)2
d = √222 + 42
d = √484 + 16
d = √500
d = √100 * 5
d = √100 * √5
d = 10√5
Therefore, the distance between the points (-12, 4) and (10, 8) is equal to 10√5
Note: As a decimal number, 10√5 ≈ 22.360679774998
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(10 − (-12))2 + (8 − 4)2
d = √(10 + 12)2 + (8 − 4)2
d = √222 + 42
d = √484 + 16
d = √500
d = √100 * 5
d = √100 * √5
d = 10√5
Therefore, the distance between the points (-12, 4) and (10, 8) is equal to 10√5
Note: As a decimal number, 10√5 ≈ 22.360679774998
