Difference between revisions of "Lines in the Plane and Slope"
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==Introduction== | ==Introduction== | ||
The simplest mathematical model for relating two variables is the linear equation <math> y=mx+b </math>. This equation is called ''Linear'' because its graph is a line. <math> m </math> is the slope and <math> (0,b) </math> is the y-intercept. | The simplest mathematical model for relating two variables is the linear equation <math> y=mx+b </math>. This equation is called ''Linear'' because its graph is a line. <math> m </math> is the slope and <math> (0,b) </math> is the y-intercept. | ||
| − | ==Finding the slope <math> m </math> | + | |
| + | ==Finding the slope <math> m </math>== | ||
For instance, suppose you want to find the slope of the line passing through the points <math> (x_1,x_2) </math> and <math> (y_1,y_2) </math> | For instance, suppose you want to find the slope of the line passing through the points <math> (x_1,x_2) </math> and <math> (y_1,y_2) </math> | ||
==Notes:== | ==Notes:== | ||
A vertical line has equation of the form <math> x=a </math> where <math> a </math> is any constant. | A vertical line has equation of the form <math> x=a </math> where <math> a </math> is any constant. | ||
Revision as of 06:52, 12 July 2020
Introduction
The simplest mathematical model for relating two variables is the linear equation . This equation is called Linear because its graph is a line. is the slope and is the y-intercept.
Finding the slope
For instance, suppose you want to find the slope of the line passing through the points and
Notes:
A vertical line has equation of the form where is any constant.
