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

4.12 Graphs and characteristics of absolute value functions

United States of America NY

Algebra I

4.04 Slope-intercept form

Interactive practice questions

Consider the equation $y=-7-\frac{4x}{3}$y=−7−4x3.

a

State the slope of the line.

b

State the $y$y-value of the $y$y-intercept.

Easy

1min

What does $b$b stand for in the equation of a line $y=mx+b$y=mx+b?

Easy

< 1min

State the slope and $y$y-intercept of the line with equation $y=9+6x$y=9+6x.

Easy

< 1min

State the slope and $y$y-intercept of the equation $y=-x$y=−x.

Easy

< 1min

Outcomes

AI-F.IF.4

For a function that models a relationship between two quantities: i) interpret key features of graphs and tables in terms of the quantities; and ii) sketch graphs showing key features given a verbal description of the relationship.

AI-F.IF.7

Graph functions and show key features of the graph by hand and by using technology where appropriate. ★

AI-F.IF.7a

Graph linear, quadratic, and exponential functions and show key features.

AI-F.IF.8

Write a function in different but equivalent forms to reveal and explain different properties of the function.

AI-F.LE.2

Construct a linear or exponential function symbolically given: i) a graph; ii) a description of the relationship; iii) two input-output pairs (include reading these from a table).

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