Using the distance formula, the approximate distance between the points (1, -2) and (-9, 3) is: 11 units.
How to Find the Distance of Two Points?
To find the distance of two points on a coordinate grid, the distance formula that is employed is: d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].
Given the points are on a coordinate grid:
(1, -2) = (x1, y1)
(-9, 3) = (x2, y2)
Plug in the values into the distance formula:
d = √[(−9−1)² + (3−(−2))²]
d = √[(−10)² + (5)²]
d = √(100 + 25)
d = √125
d = 11.18034
d ≈ 11 units.
Therefore, using the distance formula, the approximate distance between the points (1, -2) and (-9, 3) is: 11 units.
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