Given Coordinates: x1 = 7 y1 = 4, x2 = -3 y2 = -2
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-3 − 7)2 + (-2 − 4)2
d = √(-10)2 + (-6)2
d = √100 + 36
d = √136
d = √4 * 34
d = √4 * √34
d = 2√34
Therefore, the distance between the points (7, 4) and (-3, -2) is equal to 2√34
Note: As a decimal number, 2√34 ≈ 11.661903789691
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-3 − 7)2 + (-2 − 4)2
d = √(-10)2 + (-6)2
d = √100 + 36
d = √136
d = √4 * 34
d = √4 * √34
d = 2√34
Therefore, the distance between the points (7, 4) and (-3, -2) is equal to 2√34
Note: As a decimal number, 2√34 ≈ 11.661903789691
