# Thread: find number of points on the straight line

1. ## 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

2. ## 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)

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### the number of point on the straight line which joins (-4,11) to (16,-1) whose co- ordinate are positive integer is 3

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