In the first tutorial, I introduce you to the equation y = mx + c and the meaning of m and c.
Experiment with the Graph
Experiment with the graph below by changing the parameters to see how it affects the graph.
Common questions using y=mx+c
Finding the equation of the line given the graph
You will often find that you need to find the equation of a line given a point on the line and the gradient.
Rule to remember:
- y – y1 = m (x – x1)
Comparing y=mx+c to this new method
As part of my series on coordinate geometry I show you how to find the distance between two points.
In this video I show you how to find the coordinates of the mid-point of a line segment.
In this next example, I show you how to find the equation of a parallel line to a given line passing through a given point.
Example in the video
- Find the equation of a line parallel to the line 3y – 2x – 6 = 0 and passing through the point (-1, -2).
In this next example, I show you how to find the equation of a perpendicular bisector between two given points.
Examples in the video
- Find the equation of the perpendicular bisector of the line joining the points A(3,5) and B(-2,-1) giving your answer in the form ax + by + c = 0 where a, b and c are integers.
Related Topics
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