What you’ll learn
Interpret slope in proportional relationships.
Key idea
A proportional graph passes through the origin; slope is vertical change divided by horizontal change.
Slope is rise/run, not either coordinate alone; a proportional line has zero intercept.
Worked example
Enter the exact value or ordered values in the format requested below.
Read the slope of this straight proportional graph, x horizontal and y vertical.
Marked coordinates: P=(2, 10); O=(0, 0).
- The graph passes through origin O and P=(2,10), with x horizontal and y vertical.
- Slope=rise/run=10/2=5; zero intercept gives y=5x and the requested construction points {(0,0),(2,10)}.
Answer: 5
Quick Check
Relate the graph used in 'Interpret slope in proportional relationships' to an equation, table, transformation, or verbal description.
Connect this straight proportional graph to its equation using origin and slope evidence.
Marked coordinates: P=(2, 4); O=(0, 0).