Given two points, the slope (m) of the line is calculated by,
m = (y2 - y1) / (x2 - x1)
where x and y are the coordinates of the points. Substituting the values,
m = (5c - 3c) / (2c - c)
Factoring out c from both the numerator and denominator gives an answer of,
m = 2
Thus, the slope of the line is 2.