Given Coordinates: x1 = -2 y1 = -7, x2 = -10 y2 = -7
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-10 − (-2))2 + (-7 − (-7))2
d = √(-10 + 2)2 + (-7 + 7)2
d = √(-8)2 + 02
d = √64 + 0
d = √64
d = 8
Therefore, the distance between the points (-2, -7) and (-10, -7) is equal to 8
Note: Since y1 = y2, the distance between (-2, -7) and (-10, -7) is equal to the absolute value of the difference between x2 (-10) and x1 (-2), d = |-10 − (-2)| = 8
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-10 − (-2))2 + (-7 − (-7))2
d = √(-10 + 2)2 + (-7 + 7)2
d = √(-8)2 + 02
d = √64 + 0
d = √64
d = 8
Therefore, the distance between the points (-2, -7) and (-10, -7) is equal to 8
Note: Since y1 = y2, the distance between (-2, -7) and (-10, -7) is equal to the absolute value of the difference between x2 (-10) and x1 (-2), d = |-10 − (-2)| = 8