Interpret Slope and Intercept of a Line of Best Fit
Written by Adi Ackerman, Head Teacher
"Interpret Slope and Intercept of a Line of Best Fit" is written for 8th Grade (Ages 13-14), and it covers Common Core 8.SP.A.3. A 7th grader who is already steady on data & graphing can use it too, and an older student can use it as a short review.


8th grade math worksheet: say what the slope and y intercept mean for lines like y = 4x + 62 for study time and test score. Answer key included. Part of our linear models data & graphing collection. Aligned to Common Core standards.
How do I use this worksheet?
Use these after scatter plots and lines of best fit. Start with interpreting slope and intercept, then predictions, then writing models.
What students will practice
- Students will interpret the slope of a line of best fit as a rate with units.
- Students will interpret the y intercept as a starting value in context.
- Students will read linear models of sample data such as maple tree age and height.


Describe Association in Scatter Plots


Construct Scatter Plots From Data Tables


Draw and Judge Lines of Best Fit

Plant Growth Study With Scatter Plots


Use a Linear Model to Make Predictions

Write a Linear Model From a Scatter Plot


Build Two-Way Frequency Tables From Surveys


Two-Way Relative Frequency Tables by Row and Column
Curriculum Links
Common Core State Standards
Statistics and Probability · 8th Grade
Standard: Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept.
View all 8.SP.A.3 worksheets →Find this in the curriculum
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FAQ
How do I use this linear models worksheet?
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Use these after scatter plots and lines of best fit. Start with interpreting slope and intercept, then predictions, then writing models.
What does this worksheet teach?
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Say what the slope and y intercept mean for lines like y = 4x + 62 for study time and test score. The directions on the page read: Each line of best fit comes from sample data. Write what its slope and its y-intercept mean in the situation. Use units. An answer key is included.
Can I use this linear models worksheet for homeschool or classroom?
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Yes, both. We made it for 8th grade data & graphing, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
What does the slope of a linear model tell you?
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It tells how much y changes for each one unit increase in x, in the units of the problem. For a model of maple trees, y = 1.5x + 3, each year adds about 1.5 feet of height.
When does a prediction from a linear model not make sense?
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When x is far outside the data or the answer is impossible in the situation, such as a score above 100. Use a Linear Model to Make Predictions asks students to circle yes or no for each prediction.
How do you write the equation of a line of best fit?
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Pick two points on the line, find the slope from them, then solve for the y-intercept. Write a Linear Model From a Scatter Plot circles two points on each line to start.
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Worksheet Details
| Grade | 8th Grade |
| Subject | Math |
| Topic | Data & Graphing |
| Standard | 8.SP.A.3 |
| Pages | 1 page |
| Difficulty | Medium |
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Describe Association in Scatter Plots


Construct Scatter Plots From Data Tables


Draw and Judge Lines of Best Fit

Plant Growth Study With Scatter Plots


Use a Linear Model to Make Predictions

Write a Linear Model From a Scatter Plot


Build Two-Way Frequency Tables From Surveys


Two-Way Relative Frequency Tables by Row and Column