Mrs.D Math · 8th Grade

MATCH
POINT

Slope & Y-Intercept
🔬 y = mx + b
⛰ Rise over Run
📏 m = y₂ − y₁x₂ − x₁
🎯 b = where it crosses the y-axis
📈 m = riserun = 21 → y = 2x + 1
⤵ Falling line? Slope is negative!
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📚 How It Works

Reading a Graph: y = mx + b

Every line has a slope (m) and a y-intercept (b).

1
Find b: Look where the line crosses the y-axis (the pink dot!).
Crosses at (0, 3) → b = 3
2
Find m: Use the gold triangle — count the rise (up/down) over the run (right).
Rise 2, run 1 → m = 2
3
Write it: Plug m and b into y = mx + b.
y = 2x + 3

Matching an Equation to a Graph

✓
Start at b on the y-axis, then step using the slope: up for positive rise, down for negative.
✓
Line goes up left-to-right → positive slope. Goes down → negative slope.
✓
Watch out for traps: same b with flipped slope, or same slope with the wrong b!

How to Play

📈
Graph → Equation — Read the graph, pick the matching equation.
✍️
Equation → Graph — Read the equation, pick the matching graph.
🆕
Mixed — Both directions. Game. Set. Match!
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GRAPH → EQUATION
📺 Mrs.D Math Lesson
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