LESSON NOTES MENU
Algebra I / Elem. Algebra
Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems
Algebra II / E&I Algebra
Exponents & Polynomials Intermediate Algebra starts here!

Factoring Rational Expressions Rational Equations and Applications
Algebra III / Inter. Algebra
Radical Expressions Nonlinear Equations and Applications Functions and Graphs II Exponential and Logarithmic Functions
College Algebra
Equations and Inequalitites Functions and Graphs Polynomial and Rational Functions Exponential and Logarithmic Functions Systems and Matrices Geometry Basics Conic Sections Sequences and Series
Trigonometry
The Six Trigonometric Functions Right Triangle Trigonometry Circular Functions Graphs of Trigonometric Functions Trigonometric Identities Trigonometric Equations Oblique Triangles and the Laws Vectors Complex, Parametric, and Polar Forms
Calculus I
Limits and Continuity Derivatives Analysis of Curves Antiderivatives
Calculus II
Transcendental Functions
Geometry Physics Integration Techniques Calculus of Infinity Parametric, Polar, and Conic Curves
Calculus III
Sequences and Infinite Series Power Series Vectors and Geometry of Space Vector-Valued Functions
Calculus IV
15.Functions of Several Variables
16.Multiple Integration
17.Vector Analysis
S = contains supplemental resources
Course: Algebra I / Elementary Algebra
Topic: Lines and their Graphs
Subtopic: Equations of Lines II - Point-Slope Formula

Overview

There are two formulas that can be used to find the equation of a line, the slope-intercept formula y=mx+b and the point-slope formula y-y1=m(x-x1). Which you use depends on the information you know about the line. If you know the slope m and the y-intercept value b, plug those into the slope-intercept formula to get the equation of the line. If you know a point on the line (x1,y1) and the slope m of the line, plug them into the point-slope formula, then solve it for y to get the equation of the line.

Objectives

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

• 4.4.1 Given the slope and a point on the line (either the y-intercept or one that is not the y-intercept), find its equation
• 4.4.2 Given two points on a line, find its slope then equation
• 4.4.3 Understand applications of the equation of the line

Terminology

Point-Slope Formula for the equation of a line y-y1=m(x-x1) (memorize it!)

Text Notes

This whole "lines" chapter is filled with important formulas, terminology, and processes. Spend significant time learning them well. The next chapter deals with "systems of linear equations" where the graphs will have more than one linear equation and we will be analyzing how they connect including finding intersection points and interpreting this information in terms of fairly advanced applications. I cannot stress enough how important it is to have the processes of "equation -> graph" and "graph -> equation" down well before we start adding the additional lines to form multi-equation multi-variable systems!
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}