HOME
Number Algebra and Graphs Geometry Mensuration Coordinate Geometry Cartesian Coordinate System Gradient of a line Equation of a line Horizontal and Vertical lines Parallel lines and their equation Drawing straightline graphs Solving simultaneous equations graphically Calculating length of a line segment Midpoint of a line segment Perpendicular lines Trigonometry Pythagoras' Theorem Basic Trigonometry Trig Word Problems 3D Trigonometry Sine and Cosine Rule Area of any Triangle Bearings Angles of Elevation and Depression Vectors, Matrices and Transformations Vectors/Matrices/ Transformations Probability Statistics Follow MathsAre you following me on Facebook yet? Follow the link, like me on Facebook and be the first one to receive important news and updates.

The Equation of a Line and how to construct an Equation
How many lines can you spot on the picture of the beautiful landscape? Do they all go into the same direction? What will the equation of those lines be? An important aspect of a successful and confident mathematician, is the ability to construct equations. As part of coordinate geometry you are therefore required to be able to construct linear equations in various situations. To be able to do so properly, you need to understand what a general equation looks like and what each part/term of the equation stands for. I will therefore start with explaining to you what the gradientintercept form is. Make sure to already have a solid understanding of what the gradient of a line is and how to calculate it. At the end of this section you will be able to construct equations of all the lines in the picture. Good luck and have fun!
