Q.1 The points (2,5), (3,3) and (k,1) all lie in a straight line.
(a) find the value of k (b) find the equation of the line.
2. The straight line graph of y=3x-6 cuts the x axis at A and y axis at B.
(a) Find the co-ordinates of A and the co-ordinates of B.
(b) Calculate the length of AB.
(c) M is the Midpoint of AB. Find the co-ordinates of M.
3. A is the point (4,1) and B is the point (10,15).
Find the equation of the perpendicular bisector of the line AB.
4. Find the equation of line that is perpendicular to line y=3x-1 and passes through the point (7,4).
5. The lines 5x=4y+10 and 2y=kx-4 are parallel. Find the value of K.
6. A is the point (8,3) and B is the point (12,1). Find the equation of line AB, which passes through the point (0,0).
7. A line has gradient 5. A and B are two points on line. A is the point (x,8) and N is the point (k,23)
Find an equation in terms of x and k.
8. (a) The line y=2x+7 meets the y axis at A.
Write down the co-ordinates of A.
(b) A line parallel to y=2x+7 passes through B (0,3).
(i) find the equation of this line.
(ii) C is the point on the line y=2x+1 where x=2.
Find the coordinates of the midpoint of BC.
