IXL | Graph proportional relationships

Doug and his friends set out to sea on their annual fishing trip. After sailing for 2

hours,

they are 8 miles from shore.

There is a proportional relationship between the time (in

hours)

Doug and his friends spend sailing,

and their distance from shore (in

miles),

Graph this relationship. Select two points to draw a line.

x-axis, Hours, y-axis, Miles. Coordinate plane graph with 1 quadrants, x-axis coordinates from 0 to 10, y-axis coordinates from 0 to 10.

ref_doc_title.

Learn with an example

question

Victoria wants to fill her water bottle between classes, but the water fountain next to her classroom is frustratingly slow. To get 2 ounces of water in her bottle, it takes Victoria 8

seconds.

There is a proportional relationship between the amount of water (in

ounces)

Victoria puts in her water bottle,

and how long (in

seconds)

it takes to get that amount,

Graph this relationship. Select two points to draw a line.

key idea

The graph of a proportional relationship between

and

is a straight line passing through the origin

(

)

solution

To graph the relationship, find two points that satisfy it and draw a line through them.

Since the relationship is proportional, the line passes through the point

(

)

In other words, if Victoria doesn't get any water (0 ounces), she spends no time (0 seconds) filling her bottle.

To find another point, look for clues in the problem related to

and

y-values.

Victoria wants to fill her water bottle between classes, but the water fountain next to her classroom is frustratingly slow. To get 2 ounces of water in her bottle, it takes Victoria 8

seconds.

There is a proportional relationship between the amount of water (in

ounces)

Victoria puts in her water bottle,

and how long (in

seconds)

it takes to get that amount,

The problem describes the point

(

)

The line through

(

)

and

(

)

shows the proportional relationship.

Looking for more? Try these:

Lesson: Proportional relationships

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X.3Identify proportional relationships by graphing

Lesson: Proportional relationships

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