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Build the Celsius–Fahrenheit Relationship

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Introduction to Linear Polynomials · Finding linear relationships · 3:43

You'll learn: Use two known temperature pairs to determine a and b.

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Build the Celsius–Fahrenheit Relationship

3:43

Playing

Build the Celsius–Fahrenheit Relationship

You'll learn: Use two known temperature pairs to determine a and b.

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Same topic

Finding linear relationships

2

Find a Fixed Fee and a Per-GB Charge from Two Bills
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Find a Fixed Fee and a Per-GB Charge from Two Bills
You'll learn: Build two conditions and recover the parameters in y=ax+b.
Recover Pricing Rules for Learning Modules and Court Time
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Recover Pricing Rules for Learning Modules and Court Time
You'll learn: Transfer the two-observation method to other fixed-fee situations.

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Graphs, slope and intercept

8

Draw a Linear Relationship Using Two Points
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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?
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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
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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?
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Change the Constant: Why Do the Lines Stay Parallel?
You'll learn: Hold a fixed and vary b to compare translated lines.
Read What Changes When a and b Change
4:24
Read What Changes When a and b Change
You'll learn: Compare the five exercise families using graphs and coefficients.

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Chapter challenge problems

5

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.