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 UT

Math I

4.08 Graphing linear inequalities in two variables

Interactive practice questions

Is $\left(6,20\right)$(6,20) a solution of $y$y $\ge$≥ $4x+5$4x+5?

$no$

A

$yes$

B

Easy

< 1min

Is $\left(3,2\right)$(3,2) a solution of $3x+2y$3x+2y $\ge$≥ $12$12?

Easy

< 1min

Which of the following points satisfies the inequality $x-y>7$x−y>7?

Easy

< 1min

Which of the following points satisfies the inequality $y>2x$y>2x?

Easy

< 1min

Outcomes

I.A.REI.12

Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

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