Mrs.D Math · 8th Grade

TABLE
TURNER

Slope & Y-Intercept
📈 y = mx + b
📏 Rise over Run
➗ m = y₂ − y₁x₂ − x₁
📊 Table → find m & b
⚡ m = change in ychange in x
🎯 b = y when x = 0
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📊 How Table Turner Works

Finding the Equation from a Table

y = mx + b

m is the slope (rate of change). b is the y-intercept (y when x = 0).

1
Find the slope m: pick two points from the table and divide the change in y by the change in x.
m = (y₂ − y₁) ÷ (x₂ − x₁)
2
Find b: if the table shows x = 0, that y-value IS b. Otherwise plug in a point: b = y − mx.
Point (2, 11), m = 4 → b = 11 − 4(2) = 3
3
Write it: put m and b into y = mx + b and check it against every row of the table!

Matching a Table to an Equation

Plug each x-value into the equation — the correct table matches on every single row.

✓
y = 3x + 2 with x = 0 → y = 2. Eliminate tables that don't start at 2!
✓
Then check the pattern: y should grow by m each time x grows by 1.
✓
Watch for traps — some wrong tables share the same b but a different slope!

How to Play

📊
Table → Equation — Study the table, then pick the matching equation.
📝
Equation → Table — Read the equation, then pick the table it creates.
🆕
Mixed — Both directions for the ultimate table-turning challenge!
🧮
Calculator — Tap the gold calculator (bottom-left) any time. Try it in your head first!
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TABLE → EQUATION
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