A straight line passes through the point A(3,\,-2) and has slope 54.
(i) Draw a neat rough sketch of the line on the Cartesian plane, clearly marking the point A and both intercepts on the axes.
(ii) Calculate the y-intercept of this line.
(iii) Write the equation of the line in slope–intercept form.
(iv) Determine the coordinates of the point on the line where y=6 and indicate this point on your sketch.