Given Coordinates: x1 = 4 y1 = 7, x2 = -6 y2 = -1
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-6 − 4)2 + (-1 − 7)2
d = √(-10)2 + (-8)2
d = √100 + 64
d = √164
d = √4 * 41
d = √4 * √41
d = 2√41
Therefore, the distance between the points (4, 7) and (-6, -1) is equal to 2√41
Note: As a decimal number, 2√41 ≈ 12.806248474866
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-6 − 4)2 + (-1 − 7)2
d = √(-10)2 + (-8)2
d = √100 + 64
d = √164
d = √4 * 41
d = √4 * √41
d = 2√41
Therefore, the distance between the points (4, 7) and (-6, -1) is equal to 2√41
Note: As a decimal number, 2√41 ≈ 12.806248474866
