Problem preview
S-ID.6.a Warmup M1-054-A07-V01

Use scatter plots to represent two quantitative variables and fit functions to model relationships.

Estimate a linear model from fit-line points

Problem

A line of fit passes through \((0,~2)\), \((4,~10)\). Estimate a linear model for the line.

Big Picture

What this problem is really about

Two well-separated points on a fit line determine its linear model even if they are not original data points. Compute rise over run with a consistent point order, find the intercept from an axis crossing or substitution, and verify the finished equation against both line points.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
S-ID.6.a
Category
Statistics and Probability
Domain
Interpreting Categorical and Quantitative Data
Objective
Use scatter plots to represent two quantitative variables and fit functions to model relationships.
Problem type
Estimate a linear model from fit-line points