5. Linear Equations, Proportional Relationships & Lines

5.01 Review: One-step equations

5.02 Review: Two-step equations

5.03 Multistep equations

5.04 Equations with variables both sides

5.05 Proportional relationships in the coordinate plane

5.06 Describing the slope of a line

5.07 Identifying slope and y-intercept

5.08 Graphing lines

5.09 Connecting descriptions, tables, equations, and graphs of lines

United States of America NC

Grade 8

5.05 Proportional relationships in the coordinate plane

Interactive practice questions

Is $x$x proportional to $y$y in the following table?

$x$`x`	$1$1	$2$2	$3$3	$4$4
$y$`y`	$3$3	$6$6	$9$9	$12$12

Yes

A

No

B

There is not enough information to tell

C

Easy

< 1min

Is $x$x proportional to $y$y in the following table?

Easy

< 1min

Is the relationship of $x$x to $y$y plotted in the following graph a proportional relationship?

Easy

< 1min

Is the relationship of $x$x to $y$y plotted in the following graph a proportional relationship?

Easy

< 1min

Outcomes

NC.8.F.4

Analyze functions that model linear relationships. • Understand that a linear relationship can be generalized by y = mx + b. • Write an equation in slope-intercept form to model a linear relationship by determining the rate of change and the initial value, given at least two (x, y) values or a graph. • Construct a graph of a linear relationship given an equation in slope-intercept form. • Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of the slope and y-intercept of its graph or a table of values.

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