Mrs.D Math · 8th Grade

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Slope & Y-Intercept
📈 Slope
📏 Rise/Run
⚡ Unit Rate
📊 k = y ÷ x
🏁 0.8 vs 0.75
🚀 y = 0.75x
📺 Mrs.D Math Lesson
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📚 How It Works

Unit Rate IS the Slope!

unit rate = k = y ÷ x  →  y = kx

In a proportional relationship, the unit rate tells how much y changes for every 1 unit of x — that's the slope of the line.

1
From a table: pick any column and divide y by x.
Time 2s, 1.6 gal → 1.6 ÷ 2 = 0.8 gal/s
2
From a graph: pick a point on the line and divide y by x.
Point (4, 3) → 3 ÷ 4 = 0.75 gal/s
3
To compare: find each unit rate, then the bigger rate is faster!
0.8 gal/s > 0.75 gal/s → Machine B wins

How to Play

🔍
Find the Rate — Read the table or graph, then type the unit rate as a decimal.
🏁
Rate Showdown — Compare a table vs. a graph. Pick the faster machine AND its rate.
🆕
Mixed — Both types together for the ultimate race!

🧮 Calculator Tips

💡
A calculator is available bottom-left — but try it in your head first, then verify!
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FIND THE RATE
📺 Mrs.D Math Lesson
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Watch on YouTube ↗
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Try it in your head first — then verify! 💡
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