A line of slope 2 passes through the point A(1,3).
a) Check whether B(3,7) is a point on this line.
b) Write down the equation of this line.
c) Find the coordinates of a point C on the line such that BC = 2AB.
Solution: Slope of the line is 2 and passes through A(1, 3)
(a) For point B(3, 7)
2(3) + 1 = 7
Hence the point B(3, 7)lies on the line y = 2x + 1
(b) Equation of the line is y = 2x+1.
(c) Let be the coordinates of point C on line.
Therefore it satisfies the equation of line a
Squaring both sides, we get
The coordinates of point C are or .