If the line y = mx + c passes through the points (2, -4) and (-3, 1), determine the values of m and c.

Equation of line passing through (2, -4) and (-3, 1) i.e. two points can be given by two-point formula i.e. Comparing the above equation with y = mx + c we get, m = -1 and c = -2. Hence, the value of m is -1 and c is -2.