4. Linear Functions

4.01 Review: Slope as rate of change

4.02 The slope formula

4.03 Transformations of y=x

Investigation: Exploring slopes and equations of lines

4.04 Slope-intercept form

4.05 Standard form

Investigation: Relationship between shoulder span and height

4.06 Point-slope form

4.07 Graphical solutions to linear equations or inequalities

4.08 Graphing linear inequalities in two variables

4.09 Modeling linear relationships

4.10 Comparing linear relationships

4.11 Arithmetics sequences as linear functions

United States of America NC

Math 1

4.05 Standard form

Interactive practice questions

Express the following equations in standard form.

Enter each line of work as an equation.

a

$y=2x-5$y=2x−5

b

$y=\frac{2x}{5}+4$y=2x5+4

Easy

3min

Express the following equations in standard form.

Easy

2min

Express $y=\frac{-x}{-6}$y=−x−6 in standard form.

Easy

1min

Express $y-5x=5$y−5x=5 in standard form.

Easy

1min

Outcomes

NC.M1.F-IF.4

Interpret key features of graphs, tables, and verbal descriptions in context to describe functions that arise in applications relating two quantities, including: intercepts; intervals where the function is increasing, decreasing, positive, or negative; and maximums and minimums.

NC.M1.F-IF.7

Analyze linear, exponential, and quadratic functions by generating different representations, by hand in simple cases and using technology for more complicated cases, to show key features, including: domain and range; rate of change; intercepts; intervals where the function is increasing, decreasing, positive, or negative; maximums and minimums; and end behavior.

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