Slope of the line passing through (0, 25) and (60, 0) = (0 - 25)/(60 - 0) = -25/60 = -5/12sud21 wrote:
Equation of line is given by: (y - y1) = m(x - x1), where m is the slope and (x1, y1) is the point through which the lines passes.
So, equation of line is (y - 25) = -5/12(x - 0) or y - 25 = -5x/12
y = 25 - 5x/12
Now the possible ways in which both sides can be integers are when 5/12x is an integer.
So, the possible coordinates are (0, 25), (12, 20), (24, 15), (36, 10), (48, 5), and (60, 0), which means there are 6 coordinates when both x and y are integers.
The correct answer is B.
