Graphing Proportional Relationships

a system for locating points in two dimensions that uses a horizontal axis and a vertical axis.

a relationship between two quantities, in which the ratio of the input to output is always the same.

a rate that compares a quantity to exactly one unit of another quantity.

the value of the ratio between two quantities that are in a proportional relationship.

x-axis

y-axis

origin (0,0)

backpack

(1,5)

(5,200)

(7,35)

(9,32)

The graph can start anywhere

The graph HAS to start at the origin (0,0)

The graph needs to be in a zig zag form

Yes, because it goes in a straight line.

No, because it does not start at the origin.

Yes, because it goes in a straight line & starts at the origin.

No, because it does not start at the origin.

$15 per month

$30 per 2 months

$30 per month

$60 per 4 months.

(1,2)

(2,1)

(4,19)

Toes

(1,3.5)

There is no constant of proportionality because it does not start at the origin

(2,4)

(10,8)