Given Coordinates: x1 = -3 y1 = 1, x2 = -9 y2 = -7
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-9 − (-3))2 + (-7 − 1)2
d = √(-9 + 3)2 + (-7 − 1)2
d = √(-6)2 + (-8)2
d = √36 + 64
d = √100
d = 10
Therefore, the distance between the points (-3, 1) and (-9, -7) is equal to 10
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-9 − (-3))2 + (-7 − 1)2
d = √(-9 + 3)2 + (-7 − 1)2
d = √(-6)2 + (-8)2
d = √36 + 64
d = √100
d = 10
Therefore, the distance between the points (-3, 1) and (-9, -7) is equal to 10