Given Coordinates: x1 = 1 y1 = -5, x2 = -1 y2 = 7
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-1 − 1)2 + (7 − (-5))2
d = √(-1 − 1)2 + (7 + 5)2
d = √(-2)2 + 122
d = √4 + 144
d = √148
d = √4 * 37
d = √4 * √37
d = 2√37
Therefore, the distance between the points (1, -5) and (-1, 7) is equal to 2√37
Note: As a decimal number, 2√37 ≈ 12.165525060596
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-1 − 1)2 + (7 − (-5))2
d = √(-1 − 1)2 + (7 + 5)2
d = √(-2)2 + 122
d = √4 + 144
d = √148
d = √4 * 37
d = √4 * √37
d = 2√37
Therefore, the distance between the points (1, -5) and (-1, 7) is equal to 2√37
Note: As a decimal number, 2√37 ≈ 12.165525060596
