Given Coordinates: x1 = -6 y1 = 5, x2 = 8 y2 = -3
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(8 − (-6))2 + (-3 − 5)2
d = √(8 + 6)2 + (-3 − 5)2
d = √142 + (-8)2
d = √196 + 64
d = √260
d = √4 * 65
d = √4 * √65
d = 2√65
Therefore, the distance between the points (-6, 5) and (8, -3) is equal to 2√65
Note: As a decimal number, 2√65 ≈ 16.124515496597
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(8 − (-6))2 + (-3 − 5)2
d = √(8 + 6)2 + (-3 − 5)2
d = √142 + (-8)2
d = √196 + 64
d = √260
d = √4 * 65
d = √4 * √65
d = 2√65
Therefore, the distance between the points (-6, 5) and (8, -3) is equal to 2√65
Note: As a decimal number, 2√65 ≈ 16.124515496597
