Given Coordinates: x1 = -2 y1 = 3, x2 = -7 y2 = -7
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-7 − (-2))2 + (-7 − 3)2
d = √(-7 + 2)2 + (-7 − 3)2
d = √(-5)2 + (-10)2
d = √25 + 100
d = √125
d = √25 * 5
d = √25 * √5
d = 5√5
Therefore, the distance between the points (-2, 3) and (-7, -7) is equal to 5√5
Note: As a decimal number, 5√5 ≈ 11.180339887499
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-7 − (-2))2 + (-7 − 3)2
d = √(-7 + 2)2 + (-7 − 3)2
d = √(-5)2 + (-10)2
d = √25 + 100
d = √125
d = √25 * 5
d = √25 * √5
d = 5√5
Therefore, the distance between the points (-2, 3) and (-7, -7) is equal to 5√5
Note: As a decimal number, 5√5 ≈ 11.180339887499
