Given Coordinates: x1 = 1 y1 = 7, x2 = 5 y2 = 9
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(5 − 1)2 + (9 − 7)2
d = √42 + 22
d = √16 + 4
d = √20
d = √4 * 5
d = √4 * √5
d = 2√5
Therefore, the distance between the points (1, 7) and (5, 9) is equal to 2√5
Note: As a decimal number, 2√5 ≈ 4.4721359549996
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(5 − 1)2 + (9 − 7)2
d = √42 + 22
d = √16 + 4
d = √20
d = √4 * 5
d = √4 * √5
d = 2√5
Therefore, the distance between the points (1, 7) and (5, 9) is equal to 2√5
Note: As a decimal number, 2√5 ≈ 4.4721359549996