Mrs.D Math · 7th Grade

PROP
PATROL

Identify & Match Linear Relationships
✓ Proportional: y = kx  •  b = 0  •  through (0,0)
✗ Non-Proportional: y = mx+b  •  b ≠ 0
📊 Identify from Tables
⏬️ Match the Equation
📈 Read Graphs
📊 Identify the Type
⏬️ Match the Equation
🎲 Mixed
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📊 Prop Patrol — How to Play
✓ PROPORTIONAL
y = kx   (b = 0)
Passes through (0, 0)
y ÷ x is constant
No starting value
Ex: $5 per item
✗ NON-PROPORTIONAL
y = mx + b   (b ≠ 0)
Does NOT pass through (0, 0)
y ÷ x is NOT constant
Has a starting value
Ex: $5/item + $10 fee

Mode 1 — Identify the Type

📊
From a table (with x=0): check if y=0. If not, non-proportional!
x=0, y=3 → non-proportional (b=3)
📊
From a table (without x=0): check if y÷x is the same for all rows.
6/2=3, 12/4=3, 18/6=3 → proportional!
📈
From a graph: does the line pass through (0, 0)?
Yes → proportional  •  No → non-proportional
📚
From a situation: is there a starting value or fee?
$8/hr only → proportional  •  $8/hr + $20 fee → non-proportional

Mode 2 — Match the Equation

1
Find the slope (m): how much does y change per 1 unit of x?
2
Find the y-intercept (b): what is y when x=0? (or back-calculate)
3
Write y = mx + b and pick the matching equation.
m=3, b=5 → y = 3x + 5  •  m=4, b=0 → y = 4x
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Medium
QUESTION 1 / 10
IDENTIFY
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PATROL COMPLETE!
Great patrolling!

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