The general equation of a line is y= ax + b where a is the slope So a = -7 So y= -7x + b But it passes through the point (5, -3) Substitute the coordinates to calculate b: So -3 = -7(5) + b -3 = -35 + b b= 35-3 b= 32 So the equation of the line of slope -7 and passing through the point (5, -3) is y= -7x + 32