# Linear Equations

**3.1 Rate of Change (Slope)**

**Explanation:**Khan video: Linear equations word problems: earnings

Khan video: Intro to slope

Khan video: Positive & negative slope

Khan video: Worked example: slope from graph

Khan video: Calculating slope from tables

Khan video: Worked example: slope from two points

Khan video: Slope (more examples) - from Algebra basics

Khan Article: Slope review

**Practice Problems:**Khan Exercise: Slope from graph

Khan Exercise: Slope in a table

Khan Exercise: Slope from two points

IXL: Algebra S.5 Find a missing coordinate using slope (honors)

**3.2 Equations of linear functions given the y-intercept (find and graph)**

**Explanation:**Notes | Annotated

Khan video: Intro to slope-intercept form

Khan article: Intro to slope-intercept form

Khan video: Slope and y-intercept from equation

Khan video: Worked examples: slope-intercept intro

Khan video: Linear equation word problems

Khan video: Graph from slope-intercept equation

Khan article: Graphing slope-intercept form

Khan article: Graphing lines from slope-intercept form review

Khan video: Slope-intercept equation from graph

Khan video: Slope-intercept equation from slope & point

Khan video: Constructing linear equations from context

Khan article: Slope-intercept form review

Khan video: Linear equations word problem: marbles (all)

Khan video: Linear equations word problem: file transfer (all)

Khan video: Linear functions word problem: fuel

Website: Line Rider

**Practice Problems:**Khan Exercise: Slope-intercept intro

Khan exercise: Linear equations word problems

Khan exercise: Graph from slope-intercept form

Khan exercise: Slope-intercept equation from graph

IXL: Algebra S.6 Slope-intercept form: find the slope and y-intercept

IXL: Algebra S.8 Slope-intercept form: write an equation from a graph

IXL: Algebra S.11 Slope-intercept form: write an equation from a word problem

**Teacher Resources:**Desmos Activity: Polygraph: Lines

Desmos Activity: Card Sort: Slope-Intercept

Desmos Activity: Land the Plane

Desmos Activity: Making Visual Patterns with Lines

Desmos Activity: Linear Slalom

**3.3 Equations of linear functions without given the y-intercept**

**Explanation:**Notes | Annotated

Khan video: Slope-intercept form problems (8th)

Khan video: Linear functions word problem: pool (8th)

Khan video: Linear functions word problem: paint (8th)

Khan video: Linear functions word problem: iceberg (8th)

Khan article: Writing slope-intercept equations

Khan video: Slope-intercept equation from two points

**Practice Problems:**

**3.4 Point-slope Formula**

**Explanation:**Notes| Annotated

Khan video: Graphing a line given point and slope

Khan video: Intro to point-slope form (proof and example)

Khan video: Point-slope & slope-intercept equations (given two points)

Khan article: Point-slope form review

**Practice Problems:**Khan exercise: Graphing from slope

Khan exercise: Point-slope form

IXL Algebra S.24 Point-slope form: write an equation from a graph

Khan exercise: Graphing linear relationships word problems

**3.5 Standard form: Write equations in standard form given a context, find the x- and y-intercepts, and graph**

**Explanation:**Khan video: Intro to intercepts

Khan video: x-intercept of a line

Khan video: Intercepts from an equation

Khan video: intercepts from a table (honors only)

Khan article: Intercepts of lines review (x-intercepts and y-intercepts)

Khan video: Intro to linear equation standard form

Khan video: Graphing a linear equation: 5x+2y=20

Khan video: Clarifying standard form rules

Khan video: Worked example: intercepts from an equation (8th grade) (from an equation in standard form)

Khan video: Slope, x-intercept, y-intercept meaning in context

Khan video: Slope and intercept meaning in context

Khan video: Slope and intercept meaning from a table

Khan video: Finding slope and intercepts from tables (honors)

**Practice Problems:**Khan exercise: Intercepts from a graph

Khan exercise: Intercepts from an equation

Khan exercise: Intercepts from a table (honors)

Khan exercise: Graph from linear standard form

Khan exercise: Relating linear contexts to graph features

Khan exercise: Using slope and intercepts in context (extra credit)

Khan exercise: Linear equations word problems: tables

Khan exercise: Linear equations word problems: graphs

**3.6 Convert standard form and slope-intercept form**

**Explanation:**Khan article: Standard form review

Khan video: Converting from slope-intercept to standard form

Khan video: Slope from equation

Khan video: Converting to slope-intercept form

Khan video: Writing linear equations in all forms

Khan article: Forms of linear equations review

**Practice Problems**Khan exercise: Convert linear equations to standard form

Khan exercise: Linear equations in any form (you can leave answers in point slope form)

Khan exercise: Slope from equation

Desmos Activity: Linear Equations Card Sort (for teachers only)

**3.7 Parallel and Perpendicular Lines**

**Explanation:**Notes | Annotated

Khan video: Parallel & perpendicular lines intro

Khan video: Parallel & perpendicular lines from graph

Khan video: Parallel lines from equation

Khan video: Parallel lines from equation (example 2)

Khan video: Parallel lines from equation (example 3)

Khan video: Perpendicular lines from equation

Khan video: Writing equations of perpendicular lines

Khan video: Writing equations of perpendicular lines (example 2)

**Practice Problems:**

**3.8 Horizontal and Vertical Lines**

**Explanation:**Khan video: Slope of a horizontal line

Khan video: Horizontal & vertical lines

**Practice Problems:**IXL: Algebra S.20 Equations of horizontal and vertical lines

Khan exercise: Horizontal & vertical lines

Khan exercise: Write equations of parallel & perpendicular lines (includes horizontal and vertical lines & some fraction slopes; change any decimals to fractions; answers can be in point-slope form)

**Review**

IXL: Algebra S.14 Complete a table and graph a linear function (graphing by plotting points, not using the slope)