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Question
Find the distance between the following pair of points:
(-6, 7) and (-1, -5)
Solution
The distance d between two points (x1, y1) and (x2, y2) is given by the formula.
`d = sqrt((x_1 - x_2)^2 + (y_1 - y_2)^2)`
The two given points are (-6, 7) and (-1, -5)
The distance between these two points is
`d = sqrt((-6 + 1)^2 + (7 +5)^2)`
`= sqrt((-5)^2 + (12)^2)`
`= sqrt(25 + 144)`
`= sqrt(169)`
= d = 13
Hence the distance is 13 units
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