Given Coordinates: x1 = -7 y1 = -2, x2 = 6 y2 = 9
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(6 − (-7))2 + (9 − (-2))2
d = √(6 + 7)2 + (9 + 2)2
d = √132 + 112
d = √169 + 121
d = √290
Therefore, the distance between the points (-7, -2) and (6, 9) is equal to √290
Note: As a decimal number, √290 ≈ 17.029386365926
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(6 − (-7))2 + (9 − (-2))2
d = √(6 + 7)2 + (9 + 2)2
d = √132 + 112
d = √169 + 121
d = √290
Therefore, the distance between the points (-7, -2) and (6, 9) is equal to √290
Note: As a decimal number, √290 ≈ 17.029386365926
