The distance between points A and B, using the distance formula, is: 13 units.
How to Apply the Distance Formula?
The distance formula is given as, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]. It is used to find the distance between two points, given their coordinates. To do this, we just have to plug in the values of the coordinates into the distance formula, then solve.
Given the following:
A(4,-6) = (x1, y1)
B(4,7) = (x2, y2)
Plug in the values into the distance formula using the coordinates of the points that are given:
AB = √[(4−4)² + (7−(−6))²]
AB = √[(0)² + (13)²]
AB = √(0 + 169)
AB = √169
AB = 13 units
Therefore, the distance between points A and B, using the distance formula, is: 13 units.
Learn more about the distance formula on:
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