Given Coordinates: x1 = 4 y1 = 5, x2 = -6 y2 = -7
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-6 − 4)2 + (-7 − 5)2
d = √(-10)2 + (-12)2
d = √100 + 144
d = √244
d = √4 * 61
d = √4 * √61
d = 2√61
Therefore, the distance between the points (4, 5) and (-6, -7) is equal to 2√61
Note: As a decimal number, 2√61 ≈ 15.620499351813
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-6 − 4)2 + (-7 − 5)2
d = √(-10)2 + (-12)2
d = √100 + 144
d = √244
d = √4 * 61
d = √4 * √61
d = 2√61
Therefore, the distance between the points (4, 5) and (-6, -7) is equal to 2√61
Note: As a decimal number, 2√61 ≈ 15.620499351813
