What is the distance between (1,-6) (1,−6) and (4, 7) (4,7)?

1 Answer
smendyka
Mar 27, 2018

See a solution process below:

Explanation:

The formula for calculating the distance between two points is:

d = sqrt((color(red)(x_2) - color(blue)(x_1))^2 + (color(red)(y_2) - color(blue)(y_1))^2)d=√(x2−x1)2+(y2−y1)2

Substituting the values from the points in the problem gives:

d = sqrt((color(red)(4) - color(blue)(1))^2 + (color(red)(7) - color(blue)(-6))^2)d=√(4−1)2+(7−−6)2

d = sqrt((color(red)(4) - color(blue)(1))^2 + (color(red)(7) + color(blue)(6))^2)d=√(4−1)2+(7+6)2

d = sqrt(3^2 + 13^2)d=√32+132

d = sqrt(9 + 169)d=√9+169

d = sqrt(178)d=√178

Or

d ~= 13.342d≅13.342

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