Coordinate Geometry (Int) - 7 Examples
In this course, we are going to run thru 7 examples on how to apply all the different formula in Coordinate Geometry
Related Lessons:
Example 1
A straight line passes through the point \((3,-14)\), and the gradient of the line is 7.
- Find the equation of the straight line
- Hence, state the coordinates of the x-intercept.
Example 2
Given that \(A(4,2)\) and \(B(-4,-6)\)
- Find the equation of the line AB
- Find the value of k if the point \((k, -2\frac{1}{2})\) lies on the line AB
- Find the length of the line AB
Example 3
The equation of one of the lines below is \(x + y = 2\). Find the equation of the other line.
Example 4
The line \(2x+3y+11=0\) meets another line \(2y+5=x\) at the point P
- Find the coordinates of P.
- Find the equation of the line passing through P and parallel to the \(4x+2y=1\) line
Example 5
Sketch the following equations
- \(x=-1\)
- \(y=-3\)
- \(x+y=8\)
- \(2y=4x-8\)
Example 6
The coordinates of the points A, B and C are \((1,0)\), \((-3,4)\) and \((0,7)\) respectively.
- Find the length of BC
- Find the equation of the line AC
- Given that the points A, B, C and D form a rectangle, find the coordinates of D.
Example 7
The diagram shows two straight lines AB and BC. The equation of the straight line BC is \(5y-4x=20\) and the point A is \((3,0)\). Find
- the coordinates of C
- the equation of the line AB
- the area of triangle ABC