Graphs of Linear Equations: 3000 Worked Examples showing calculations of Slope, Intercept, and Equation of a Line

Linear Equations underpin the Modern World

Straight lines are the second thing, after points, that we encounter in basic introductory primary school geometry. Straight lines are also the second thing we encounter in Algebraic Geometry or Coordinate Geometry, after we understand how the Cartesian Coordinate System works. This book is a thorough introduction to how equations of straight lines work, when they are graphed on the XY Cartesian Plane.

These graphs of linear equations will be explored in detail; each graph will come with a calculation of the slope of the line, a listing of the X and Y Intercepts - which will make much more sense when we can see their values on the graphs! I have also explored the concept of reflection of a line in detail: about both axes, and the identity graph of the line y = x. This ensures that the book is completely self-contained, and sets up the reader perfectly for further explorations or courses in algebraic geometry, conic sections, circle graphs, and so on!

The large number of line graphs and exercises in this book ensure that, by the time you complete even half the Levels in this book, you will be a total pro at understanding what a line looks like, approximately, given just the equation of that line! This skill will be very useful in your later career; whether you end up working in a field of science and technology, or work in business or finance, or even if you need to look at analytics on your site or social media traffic as a writer or creative artist, you will find that these skills stand you in good stead! Let's get started!