Given Coordinates: x1 = -3 y1 = 10, x2 = 7 y2 = 2
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(7 − (-3))2 + (2 − 10)2
d = √(7 + 3)2 + (2 − 10)2
d = √102 + (-8)2
d = √100 + 64
d = √164
d = √4 * 41
d = √4 * √41
d = 2√41
Therefore, the distance between the points (-3, 10) and (7, 2) 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 = √(7 − (-3))2 + (2 − 10)2
d = √(7 + 3)2 + (2 − 10)2
d = √102 + (-8)2
d = √100 + 64
d = √164
d = √4 * 41
d = √4 * √41
d = 2√41
Therefore, the distance between the points (-3, 10) and (7, 2) is equal to 2√41
Note: As a decimal number, 2√41 ≈ 12.806248474866
