Linear functions
Finding slope from graphs worksheets
Read eight graphed lines and find each exact slope. Use the coordinate scale to compare rise and run, then check a separate answer key with worked calculations.
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Finding slope from two points worksheets
Calculate exact slopes from ten pairs of integer-coordinate points. Practice signed differences and reduced fractions, with a separate key that explains the slope calculation.
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Use m = (y₂ − y₁)/(x₂ − x₁). Keep the point order the same in the numerator and denominator, then simplify.
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Connect the calculation with the graph
Work with exact slopes and intercepts. Coordinate graphs use unit intervals from −5 to 5 on both axes, and the worked key connects the given information to the requested values, equation or completed graph.
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Learning objective
What this activity builds
Use two ordered pairs to calculate a constant rate of change.
Worked example
Find the slope through (−3, 4) and (1, −2).
m = (−2 − 4) ÷ (1 − (−3)) = −6/4 = −3/2.
The horizontal change is four units while the vertical change is negative six. Reversing both point orders gives the same slope; reversing only one changes its sign.
Teaching notes
Make the practice count
- Write the coordinate labels before substituting.
- Use parentheses when subtracting a negative coordinate.
- Reduce the final fraction and keep its denominator positive.
- Connect a negative result with a line that falls from left to right.
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Every coordinate grid uses the fixed −5 to 5 unit window. Graph-only modes omit computed response fields; answer editions complete every requested line or solution region.
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Graphing lines from two points worksheets
Graph eight lines using two ordered pairs and a supplied y-intercept. Choose graphing alone or also calculate the slope and write an equation, with separate worked answers.
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Graphing lines from an intercept and point worksheets
Construct eight lines from a supplied y-intercept and one ordered pair. Choose graphing alone or also find the slope and equation, with worked keys and completed graphs.
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