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📐 Equation of a Line
Discover the magic formula that connects any two points with a straight path. Every line tells a story through its equation: where it starts (a point) and how it travels (the slope).
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Point + Slope = Line
Any line needs just two things:
One point (x₁, y₁) and the slope m
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Slope: The Constant Change
Slope tells us how much y changes when x increases by 1
Rise over run between any two points!
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Steepness & Direction
• Positive slope: line goes up ↗️
• Negative slope: line goes down ↘️
• Larger numbers = steeper lines
• m = 0: horizontal line
🎮 Interactive Demo - Click to Move the Line!
💡 Two Ways to Think About Lines
As a Recipe
Start at any point, then follow the slope to draw the entire line
As a Pattern
Every point on the line follows the same rule: constant change rate
-5 (steep down) ← → +5 (steep up)
Change to calculate slope
Slope Locked at m = 1! Move any point to see parallel lines with the same slope.
Point-Slope Form:
Slope-Intercept Form:
🎯 Line Challenge with MathPal
Work together with MathPal to find equations and understand lines!
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MathPal's Thinking
MathPal is thinking...
MathPal is ready to help! Try the hints or check your work.
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