Graph the equation. x-y=3

Name: Problem 25, Chapter 1: College Algebra: Graphs and Models
Uploaded: 2020-07-04T13:32:29-08:00
Duration: 1 min 51 s
Channel: Ankit Gupta
Description: Graph the equation. x-y=3

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Key Concepts

Linear Equation

A linear equation is an algebraic expression that represents a straight line when graphed on a coordinate plane. It involves variables raised only to the first power and no products of variables, which ensures the graph is a straight line.

Slope-Intercept Form

The slope-intercept form of a linear equation is expressed as y = mx + b, where m represents the slope of the line and b represents the y-intercept. This form is particularly useful for graphing because it clearly shows how steep the line is and where it crosses the y-axis.

Slope

The slope of a line indicates its steepness and direction. It is calculated as the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line, determining how much y increases or decreases as x increases.

Y-Intercept

The y-intercept is the point where a linear graph crosses the y-axis, corresponding to the value of y when x is zero. It provides a starting point for graphing the line in conjunction with the slope.

Graphing Linear Equations

Graphing linear equations involves plotting points on a coordinate plane based on the equation's slope and y-intercept, then drawing a straight line through these points. This process visualizes the relationship between the variables in the equation.

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