how to find number of points on the straight line which joins (-4,11) and (16,-1) whose coordinates are positive integers

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- Dec 20th 2012, 01:06 AMsktexypnosfind number of points on the straight line
how to find number of points on the straight line which joins (-4,11) and (16,-1) whose coordinates are positive integers

- Dec 20th 2012, 01:17 AMMarkFLRe: find number of points on the straight line
The slope of the line segment is:

$\displaystyle \frac{12}{-20}=-\frac{3}{5}$

and so the lattice points are found by taking the given leftmost point and successively adding 5 to the x-coordinate and subtracting 3 from the y coordinate to get:

(-4,11), (1,8), (6,5), (11,2), (16,-1)