Given Coordinates: x1 = -2 y1 = 6, x2 = -7 y2 = 7
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-7 − (-2))2 + (7 − 6)2
d = √(-7 + 2)2 + (7 − 6)2
d = √(-5)2 + 12
d = √25 + 1
d = √26
Therefore, the distance between the points (-2, 6) and (-7, 7) is equal to √26
Note: As a decimal number, √26 ≈ 5.0990195135928
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-7 − (-2))2 + (7 − 6)2
d = √(-7 + 2)2 + (7 − 6)2
d = √(-5)2 + 12
d = √25 + 1
d = √26
Therefore, the distance between the points (-2, 6) and (-7, 7) is equal to √26
Note: As a decimal number, √26 ≈ 5.0990195135928