Consider the following two lines in the coordinate plane:
a. (i) Line L1 passes through the point (4,−2) and is perpendicular to the x–axis. Write its equation.
b. (ii) Line L2 passes through the point (−1,5) and is parallel to the x–axis. Write its equation.
c. (iii) Determine the coordinates of the point Q where L1 and L2 intersect.
d. (iv) Find, in slope–intercept form, the equation of the straight line joining Q to the point (7,9).
e. (v) Verify that the line obtained in part (iv) is neither parallel nor perpendicular to L1.