Given Coordinates: x1 = -3 y1 = 7, x2 = 1 y2 = 1
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(1 − (-3))2 + (1 − 7)2
d = √(1 + 3)2 + (1 − 7)2
d = √42 + (-6)2
d = √16 + 36
d = √52
d = √4 * 13
d = √4 * √13
d = 2√13
Therefore, the distance between the points (-3, 7) and (1, 1) is equal to 2√13
Note: As a decimal number, 2√13 ≈ 7.211102550928
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(1 − (-3))2 + (1 − 7)2
d = √(1 + 3)2 + (1 − 7)2
d = √42 + (-6)2
d = √16 + 36
d = √52
d = √4 * 13
d = √4 * √13
d = 2√13
Therefore, the distance between the points (-3, 7) and (1, 1) is equal to 2√13
Note: As a decimal number, 2√13 ≈ 7.211102550928
