Given Coordinates: x1 = -1 y1 = 5, x2 = -6 y2 = 8
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-6 − (-1))2 + (8 − 5)2
d = √(-6 + 1)2 + (8 − 5)2
d = √(-5)2 + 32
d = √25 + 9
d = √34
Therefore, the distance between the points (-1, 5) and (-6, 8) is equal to √34
Note: As a decimal number, √34 ≈ 5.8309518948453
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-6 − (-1))2 + (8 − 5)2
d = √(-6 + 1)2 + (8 − 5)2
d = √(-5)2 + 32
d = √25 + 9
d = √34
Therefore, the distance between the points (-1, 5) and (-6, 8) is equal to √34
Note: As a decimal number, √34 ≈ 5.8309518948453