There is no general answer to this question. If the line slope is undefined, it can be zero, corresponding to a horizontal line, and in that instance no other point on the line has both whole number coordinates lower than 5 6 because every point on the line has 6 as its second coordinate. If the slope is undefined because the line is vertical, every point on the line will have a first coordinate of 5. Furthermore, it is possible in principle to draw a line with a slope equal to some irrational number through the point 5 6 that never has integers for both coordinates at any other point.
ertgrt
slope = change_in_y / change_in_x → change_in_y = slope × change_in_x The first point with a whole number for the x-coordinate above (2, 1) will have an x-coordinate of 3 = 2 + 1 → change_in_x = 1 → change_in_y = 3×1 = 3 → new y = 1 + 3 = 4 → The first point above (2, 1) with whole number coordinates on the given line is (3, 4).
You can estimate the derivative by looking at adjacent rows of the table, and calculate (difference of y-coordinates) divided by (difference of x-coordinates).
First, find the coordinates of the diameter midpoint. For example, the endpoints of a diameter have coordinates of (x1, y1) = (1, 2) and (x2, y2) = (7, 6). By the midpoint formula we have: (xm, ym) = [(x2 - x1)/2, (y2 - y1)/2] = [(7 - 1)/2, (6 - 2)/2] = (3, 2) Since (x1, y1) it is the closest point to the origin, the coordinates of the center of the circle are: (xc, yc) = (xm + x1, ym + y1) = (3 + 1, 2 + 2) = (4, 4).
It is closest to 69.
ertgrt
The state capital city that is located closest to these coordinates is Little Rock, Arkansas.
slope = change_in_y / change_in_x → change_in_y = slope × change_in_x The first point with a whole number for the x-coordinate above (2, 1) will have an x-coordinate of 3 = 2 + 1 → change_in_x = 1 → change_in_y = 3×1 = 3 → new y = 1 + 3 = 4 → The first point above (2, 1) with whole number coordinates on the given line is (3, 4).
The coordinates 64°N 165°W are closest to the region of the Bering Sea, which lies between Alaska and Russia.
Augusta and Concord
Probably the closest major Canadian city to those coordinates is Winnipeg, Manitoba. It's exact coordinates are Latitude: 49° 52' 60 N, Longitude: 97° 10' 0 W.
The coastal and tourist resort of Mazatlan qualifies as such (coordinates: 23.22, -106.42)
Cape Town
The exact position you are talking about is in the middle of the Southern Pacific. The closest city on that coordinates would be Guayaquil, in Ecuador (2
The coordinates 1° S, 37° E point to a location in Africa near Lake Victoria. The closest major city to these coordinates is Nairobi, the capital of Kenya.
The city closest to the coordinates 61N 149W is Nunivak Island, which is part of the U.S. state of Alaska. The nearest populated place to these coordinates is Mekoryuk, a small village on Nunivak Island.
Quito, Ecuador, is the closest capital city to the equator, located at these coordinates: 0° 15′ 0″ S, 78° 35′ 0″ W {| ! | |}