Given Coordinates: x1 = -1 y1 = -1, x2 = -1 y2 = 4
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-1 − (-1))2 + (4 − (-1))2
d = √(-1 + 1)2 + (4 + 1)2
d = √02 + 52
d = √0 + 25
d = √25
d = 5
Therefore, the distance between the points (-1, -1) and (-1, 4) is equal to 5
Note: Since x1 = x2, the distance between (-1, -1) and (-1, 4) is equal to the absolute value of the difference between y2 (4) and y1 (-1), d = |4 − (-1)| = 5
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-1 − (-1))2 + (4 − (-1))2
d = √(-1 + 1)2 + (4 + 1)2
d = √02 + 52
d = √0 + 25
d = √25
d = 5
Therefore, the distance between the points (-1, -1) and (-1, 4) is equal to 5
Note: Since x1 = x2, the distance between (-1, -1) and (-1, 4) is equal to the absolute value of the difference between y2 (4) and y1 (-1), d = |4 − (-1)| = 5