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 Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle y=mx+b } . This equation is called Linear because its graph is a line. Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle m } is the slope and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (0,b) } is the y-intercept.
Finding the slope Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle m }
For instance, suppose you want to find the slope of the line passing through the points Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (x_1,x_2) } and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (y_1,y_2) }
Notes:
A vertical line has equation of the form Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x=a } where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a } is any constant.