Posted by sue on .
If the slope of a line is 5/3 and a point on the line is (57,12) using the given point and the slope find the coordinates of the lattice point on the line?

geometry 
Bosnian,
The "pointslope" form of the equation of a straight line is:
y  y1 = m ( x  x1 )
(x1, y1) is a known point
m is the slope of the line
(x, y) is any other point on the line
In this case:
m = 5 / 3 , x1 = 57 , y1 = 12
y  12 = ( 5 / 3 ) (x  57 )
y = (5 x / 3 )  ( 5 * 57 / 3 ) + 12
y = (5 x / 3 )  ( 285 / 3 ) + 12
y = (5 x / 3 )  95 + 12
y = (5 x / 3 )  83