Given Coordinates: x1 = -4 y1 = 1, x2 = 8 y2 = 4
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(8 − (-4))2 + (4 − 1)2
d = √(8 + 4)2 + (4 − 1)2
d = √122 + 32
d = √144 + 9
d = √153
d = √9 * 17
d = √9 * √17
d = 3√17
Therefore, the distance between the points (-4, 1) and (8, 4) is equal to 3√17
Note: As a decimal number, 3√17 ≈ 12.369316876853
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(8 − (-4))2 + (4 − 1)2
d = √(8 + 4)2 + (4 − 1)2
d = √122 + 32
d = √144 + 9
d = √153
d = √9 * 17
d = √9 * √17
d = 3√17
Therefore, the distance between the points (-4, 1) and (8, 4) is equal to 3√17
Note: As a decimal number, 3√17 ≈ 12.369316876853
