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Course: Algebra I / Elementary Algebra
Topic: Lines and their Graphs
Subtopic: Equations of Lines I - Slope-Intercept Formula

Overview

The slope-intercept method is the most useful method for graphing a linear function. Be sure to memorize the formula y=mx+b and learn to use it well! Be sure that you are able to graph a line from its equation manually by each of the following methods:

• Plug-n-chug method
• Intercept method
• Slope-intercept method

So far we have primarily been starting with a linear equation and then producing the graph. But you should also be able to work that process backwards, beginning with the graph (or information about the graph) and finding the equation of the line. This will allow us to take real-life data and find a representative linear equation thus opening up even more avenues for solving practical applications.

Objectives

By the end of this topic you should know and be prepared to be tested on:

• 4.3.1 Given the equation of a line, find its slope and y-intercept
• 4.3.2 Given the graph of a line, find its slope, y-intercept, and equation
• 4.3.3 Graph a line by the slope-intercept method
• 4.3.4 Given various information about a line (including info about parallel, perpendicular, horizontal, or vertical lines), find its equation
• 4.3.5 Given the graph of a line, find the slope-intercept form of its equation
• 4.3.6 Describe what slope and y-intercept value mean in practical terms

Terminology

Slope-Intercept Formula for the equation of a line y=mx+b (memorize it!)

Supplementary Resources

Why is the slope-intercept equation of a line so useful? Check out a couple of these video examples from James Sousa's MathIsPower4u.com, whichever interest you:
Linear Eq: Tuition Application
Linear Eq: Home Value
Linear Eq: Cricket Chirps
Linear Eq: Salary
Linear Eq: Cell Phone Plan
Linear Eq: Prescription Drugs