# find number of points on the straight line

• December 20th 2012, 01:06 AM
sktexypnos
find 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
• December 20th 2012, 01:17 AM
MarkFL
Re: find number of points on the straight line
The slope of the line segment is:

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

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)