Given Coordinates: x1 = 1 y1 = 5, x2 = -9 y2 = 1
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-9 − 1)2 + (1 − 5)2
d = √(-10)2 + (-4)2
d = √100 + 16
d = √116
d = √4 * 29
d = √4 * √29
d = 2√29
Therefore, the distance between the points (1, 5) and (-9, 1) is equal to 2√29
Note: As a decimal number, 2√29 ≈ 10.770329614269
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-9 − 1)2 + (1 − 5)2
d = √(-10)2 + (-4)2
d = √100 + 16
d = √116
d = √4 * 29
d = √4 * √29
d = 2√29
Therefore, the distance between the points (1, 5) and (-9, 1) is equal to 2√29
Note: As a decimal number, 2√29 ≈ 10.770329614269