Given Coordinates: x1 = -4 y1 = 1, x2 = -5 y2 = 6
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-5 − (-4))2 + (6 − 1)2
d = √(-5 + 4)2 + (6 − 1)2
d = √(-1)2 + 52
d = √1 + 25
d = √26
Therefore, the distance between the points (-4, 1) and (-5, 6) 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 = √(-5 − (-4))2 + (6 − 1)2
d = √(-5 + 4)2 + (6 − 1)2
d = √(-1)2 + 52
d = √1 + 25
d = √26
Therefore, the distance between the points (-4, 1) and (-5, 6) is equal to √26
Note: As a decimal number, √26 ≈ 5.0990195135928