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Coordinate Geometry

Overview of Coordinate Geometry 
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Question 1
Sketch the line 4x + 8y - 7 = 0.
Find the equation of the line that passes through the point (-1,3) and is parallel to the line above.
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Question 2
The points A (1,3), B(2,6) and C(5,k) are collinear. Find the value of k. 
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Question 3
The equation of a line L is 6x = 14 - 2y​.
(a) Write down the gradient of the line L.
(b) Find the equation of the line H which passes through the point (6,8) and is parallel to the line L.
(c) The point (n,-2n) lies on the line L. Calculate the value of n.
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Question 4
In the diagram below, Line 1 cuts the x-axis at B (0, -3), and has the same gradient as the line y=3x-4. Line 2 meets Line 1 at Point A on the x-axis.
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(a) Find the equation of Line 1.
(b) Find the equation of Line 2
(c) Does the point C (-2, -5) lie on the line as the points A and B? Justify your answer.
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Question 5
Find the equation of the line which has the same gradient as y=2x+5, and passes through the point (3,-4).
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Question 6
The line y-1=5(x-1)  passes through the point (0, 2r+3).
Find the value of r. 
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Question 7
If the points C(2,0)and D(8,-4)  are the end points of the diameter of the circle, Find the area of the circle, giving your answer in terms of pi.

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Question 8
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Differentiation
Method
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Discriminant
Method
Question 9
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