Lines in the Plane and Slope

Introduction

The simplest mathematical model for relating two variables is the linear equation $y=mx+b$. This equation is called Linear because its graph is a line. $m$ is the slope and Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle (0,b)} is the y-intercept.

Finding the slope $m$

For instance, suppose you want to find the slope of the line passing through the points $(x_{1},x_{2})$ and Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle (y_{1},y_{2})}

Notes:

A vertical line has equation of the form $x=a$ where $a$ is any constant.