Given Coordinates: x1 = -1 y1 = 3, x2 = 5 y2 = 7
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(5 − (-1))2 + (7 − 3)2
d = √(5 + 1)2 + (7 − 3)2
d = √62 + 42
d = √36 + 16
d = √52
d = √4 * 13
d = √4 * √13
d = 2√13
Therefore, the distance between the points (-1, 3) and (5, 7) is equal to 2√13
Note: As a decimal number, 2√13 ≈ 7.211102550928
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(5 − (-1))2 + (7 − 3)2
d = √(5 + 1)2 + (7 − 3)2
d = √62 + 42
d = √36 + 16
d = √52
d = √4 * 13
d = √4 * √13
d = 2√13
Therefore, the distance between the points (-1, 3) and (5, 7) is equal to 2√13
Note: As a decimal number, 2√13 ≈ 7.211102550928
