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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.

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Q: A line connecting 5 6 to another point has an undefined slope What is the closest point on this line with whole number coordinates below 5 6?
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A line connecting 2 1 to another point has a slope of 3 What is the closest point with whole number coordinates above 2 1?

ertgrt


A line connecting 2 1 to another point has a slop of 3 what is closest point with whole number coordinates above 2 1?

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).


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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).


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A line connecting 2 1 to another point has a slope of 3 What is the closest point with whole number coordinates above 2 1?

ertgrt


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A line connecting 2 1 to another point has a slop of 3 what is closest point with whole number coordinates above 2 1?

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).


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