Given Coordinates: x1 = -3 y1 = 9, x2 = -6 y2 = -7
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-6 − (-3))2 + (-7 − 9)2
d = √(-6 + 3)2 + (-7 − 9)2
d = √(-3)2 + (-16)2
d = √9 + 256
d = √265
Therefore, the distance between the points (-3, 9) and (-6, -7) is equal to √265
Note: As a decimal number, √265 ≈ 16.2788205961
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-6 − (-3))2 + (-7 − 9)2
d = √(-6 + 3)2 + (-7 − 9)2
d = √(-3)2 + (-16)2
d = √9 + 256
d = √265
Therefore, the distance between the points (-3, 9) and (-6, -7) is equal to √265
Note: As a decimal number, √265 ≈ 16.2788205961