Find the equation of the line perpendicular to the line y= 3x + 5 that passes through the point (-1,4)

Logically work through the problem: 1) Plot all the information that is available so you can visualise the problem better (always encouraged for graphical questions) 2) Understand that the gradient of the perpendicular line is the negative inverse of the gradient of the line, in this case the gradient of the perpendicular line is -1/3 3) Now you have a gradient and a point, which is sufficient information to plot the line, 4 = -1 x -1/3 + c implies c = 13/3 therefore y = -1/3x + 13/3