VaaraVaara Classroom

Videos Practice Progress

Loading video…

Loading…

Loading video…

Read What Changes When a and b Change

Ask Vaara

Your maths helper for this video

Loading…

Introduction to Linear Polynomials · Graphs, slope and intercept · 4:24

You'll learn: Compare the five exercise families using graphs and coefficients.

Up next

15 videos

Now playing

Read What Changes When a and b Change

4:24

Playing

Read What Changes When a and b Change

You'll learn: Compare the five exercise families using graphs and coefficients.

Now playing

Same topic

Graphs, slope and intercept

7

Draw a Linear Relationship Using Two Points
3:32
Draw a Linear Relationship Using Two Points
You'll learn: Turn an equation into coordinate pairs and draw the corresponding straight line.
Does a Point Belong to the Line?
3:21
Does a Point Belong to the Line?
You'll learn: Complete a value table and verify point membership by substitution.
Read a Linear Rule from Its Plotted Points
3:31
Read a Linear Rule from Its Plotted Points
You'll learn: Identify a coordinate relationship from positive and negative input-output pairs.
What Does a Positive Slope Change?
3:28
What Does a Positive Slope Change?
You'll learn: Compare rising lines through the origin and relate coefficient size to steepness.
What Does a Negative Slope Change?
3:25
What Does a Negative Slope Change?
You'll learn: Compare falling lines and explain how coefficient magnitude affects steepness.
Where Does a Line Cross the y-Axis?
3:17
Where Does a Line Cross the y-Axis?
You'll learn: Set x=0 and interpret the signed y-intercept b in y=ax+b.
Change the Constant: Why Do the Lines Stay Parallel?
3:19
Change the Constant: Why Do the Lines Stay Parallel?
You'll learn: Hold a fixed and vary b to compare translated lines.

Next topic

Chapter challenge problems

8

Reverse the Digits and Find the Number
3:17
Reverse the Digits and Find the Number
You'll learn: Use place value and two digit conditions to recover a two-digit number.
Rearrange an Equation Before Reading Its Slope
3:39
Rearrange an Equation Before Reading Its Slope
You'll learn: Rewrite equations in y=ax+b, graph them and identify parallel pairs.
Convert Between Kelvin and Fahrenheit
3:35
Convert Between Kelvin and Fahrenheit
You'll learn: Use a linear temperature formula forwards and backwards.
Work Done as a Linear Graph
3:32
Work Done as a Linear Graph
You'll learn: Express work as force times distance and interpret the graph.
Recover a Linear Polynomial from Two Points
3:19
Recover a Linear Polynomial from Two Points
You'll learn: Find a and b from two graph points, then locate both axis crossings.
Find Two Polynomials from Their Sum and a Graph Condition
3:22
Find Two Polynomials from Their Sum and a Graph Condition
You'll learn: Combine p(0), a zero of p−q and the sum identity to recover both rules.
Count Matchsticks in a Growing Chain of Hexagons
3:25
Count Matchsticks in a Growing Chain of Hexagons
You'll learn: Derive a stage rule using shared sides and test whether a total is possible.
Find a Parallel Line from a Single Point
3:29
Find a Parallel Line from a Single Point
You'll learn: Find one linear rule from two points, then use its slope to recover a parallel rule.