Solve for the slope (m) of the line first by the equation,
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates of the given points to the equation,
m = (1 - 4) / (2 - -4) = -0.5
The equation of the line may be expressed in slope-point form whose general expression is y - y1 = m(x - x1). Substituting, y - 4 = -0.5(x - -4). Further simplification of the equation will give an answer of,
y = -0.5x +2
