Equations of Linear Graphs

What is Equations of Linear Graphs?

An algebraic relationship satisfied by the coordinates of every point on a straight line and by no other point. The same line can be written in several equivalent forms: y = mx + c shows the gradient m and the y-intercept c directly, y - y1 = m(x - x1) is built from one known point and the gradient, ax + by = c clears fractions and is the usual integer form, and x = k describes a vertical line, which is the only straight line that cannot be written as y = mx + c.

This definition is part of the Coordinate Geometry chapter in Cambridge O Level Mathematics (Syllabus D).

Concepts related to Equations of Linear Graphs

• gradient-intercept form
• point-gradient form
• general form
• substitution check