Given Coordinates: x1 = 4 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 − 4)2 + (7 − (-5))2
d = √(-1 − 4)2 + (7 + 5)2
d = √(-5)2 + 122
d = √25 + 144
d = √169
d = 13
Therefore, the distance between the points (4, -5) and (-1, 7) is equal to 13
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-1 − 4)2 + (7 − (-5))2
d = √(-1 − 4)2 + (7 + 5)2
d = √(-5)2 + 122
d = √25 + 144
d = √169
d = 13
Therefore, the distance between the points (4, -5) and (-1, 7) is equal to 13