8.EE.B.5: Unit rate as slope

Also written as 8.EE.5

Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.

In plain words: Students graph proportional relationships, read the unit rate as the slope, and compare two relationships shown in different ways, like a graph and an equation.

Quick picks

Example problem: Graph the proportional relationship:
$y = 7x$
Assign problem on Goblins →
Common mistake: Reading slope as run over rise: a line through (0, 0) and (2, 6) has a unit rate of 3, not 1/3.
Builds on: 6.EE.C.9Dependent and independent variables 7.RP.A.2Proportional relationships
Leads to: 8.F.A.3Linear vs. nonlinear functions 8.F.B.4Linear function models

Example Problems

Graph the proportional relationship:

y = 7x

Graph the proportional relationship:

y = 10x

Graph the proportional relationship:

y = 12x

Khan Academy Resources

Rates & proportional relationships Graphing proportional relationships Graphing proportional relationships: unit rate Rates & proportional relationships: gas mileage Graphing proportional relationships from a table Graphing proportional relationships from an equation Rates & proportional relationships example

1-on-1 tutoring aligned to 8.EE.B.5. Instant help for students, real-time insights for teachers.

Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.

Free for teachers, forever →