Students represent nonvertical linear relationships in equations, tables, graphs, and verbal descriptions, identifying slope as the constant rate of change and the y-intercept as the initial value. They determine slope from graphs, tables, or two points, interpret its sign, magnitude, and units, and write or graph equations in the form . They compare linear functions across representations by analyzing rates of change, initial values, outputs at given inputs, and intersections, recognizing that lines may change which function is greater after crossing.
On this page:
- Master skills like “Determine slope from a graph”, “Determine slope from a table”, and “Determine slope from two points” with unlimited, free practice problems
- Download (or modify) free worksheets on Linear Functions you can use at home or in class with practice problems across all skills in this group including “Interpret slope as a rate of change”, “Determine the y-intercept of a linear relation”, “Write a linear equation in slope-intercept form”.
- Start working on adaptive units like “Line Equations and Graphing - Intro” or “Line Equations and Graphing - Practice” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Linear Functions: Individual Skills
Master 6 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.
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Practice 'Determine slope from a graph'
Select any skill in this group by hovering over the list above. Unlimited free practice problems, automatically graded.
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Download/Modify Free Grade 10 'Linear Functions' Worksheet
Print this free 'Linear Functions' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Determine slope from a graph
- Determine slope from a table
- Determine slope from two points
- Determine the y-intercept of a linear relation
- Interpret slope as a rate of change
- Write a linear equation in slope-intercept form
Units Teaching These Skills
These adaptive units introduce, teach, or reinforce skills in this group (Linear Functions) through scaffolded problems that grow in difficulty as concepts are understood.