Given Coordinates: x1 = -4 y1 = 7, x2 = 4 y2 = 0
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(4 − (-4))2 + (0 − 7)2
d = √(4 + 4)2 + (0 − 7)2
d = √82 + (-7)2
d = √64 + 49
d = √113
Therefore, the distance between the points (-4, 7) and (4, 0) is equal to √113
Note: As a decimal number, √113 ≈ 10.630145812735
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(4 − (-4))2 + (0 − 7)2
d = √(4 + 4)2 + (0 − 7)2
d = √82 + (-7)2
d = √64 + 49
d = √113
Therefore, the distance between the points (-4, 7) and (4, 0) is equal to √113
Note: As a decimal number, √113 ≈ 10.630145812735
