Problem preview
F-IF.9 Warmup M1-027-A02-V01

Compare two functions represented in different ways: equations, graphs, tables, or verbal descriptions.

Compare a linear equation to a graph description

Problem

Compare the line \(y~=~2x~+~3\) with the displayed graph.

Big Picture

What this problem is really about

An equation and a graph can be compared once they speak the same language: slope and y-intercept. We’ll read those features from the formula, then recover them from the graph using its axis crossing and rise over run. Equal or unequal slopes determine the lines’ geometric relationship, while the intercept difference measures their vertical offset.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
F-IF.9
Category
Functions
Domain
Interpreting Functions
Objective
Compare two functions represented in different ways: equations, graphs, tables, or verbal descriptions.
Problem type
Compare a linear equation to a graph description