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Mostly linear problems i had trouble with

Okay, so i did all the questions in the chapter and these are the questions i had trouble with. If u don't might could u show ur working becos i know wot the answes r, i just don't know how to get 2 them. Thanks alot

1 .P and Q are the points of intersection of the line y/2 + x/3= 1 with the x and y axes repectively. The gradient of QR is 1/2, where R is the point with x-coordinate 2a,a>0.

a. Find the y-coordinate of R in terms of a

b.Find the value of a if the gradient of PR is -2

2. In the a rectangle (diagram below) ABCD, A and B are the points (4,2) and (2,8) respectively. Given the equation of AC is y=x-2, find:

a. The equation of BC

b. the coordinates of C

3. ABCD is a parallelogram, lettered anticlockwise, such that A and C are the points (-1,5) and (5,1) repectively.

a. Given that BD is parallel to the line whose equation is y+5x=2, find the equation of BD.

4. A car journey of 300km lasts 4h. Part of this journey is on a freeway at an average speed of 90km/h. The rest is on country roads at an average speed of 70km/h. Let T be the time(in hours) spent on the freeway.

a. In terms of T, state the number of hours travelling on country road.