Answer the following questions about two lines.
(i) Convert the equations 2x+3y=7 and 4x+6y=5 to slope–intercept form and hence find the slope of each line.
(ii) Determine whether the two lines are parallel, perpendicular, or neither. Give a brief reason for your conclusion.
(iii) Find the equation of the line that passes through the point (2,−1) and is parallel to both of the above lines.
(iv) Find the equation of the line that passes through (2,−1) and is perpendicular to each of the above lines.