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 + 102
d = √36 + 100
d = √136
d = √4 * 34
d = √4 * √34
d = 2√34
Therefore, the distance between the points (-1, -3) and (5, 7) is equal to 2√34
Note: As a decimal number, 2√34 ≈ 11.661903789691
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 + 102
d = √36 + 100
d = √136
d = √4 * 34
d = √4 * √34
d = 2√34
Therefore, the distance between the points (-1, -3) and (5, 7) is equal to 2√34
Note: As a decimal number, 2√34 ≈ 11.661903789691
