IXL | Graph proportional relationships and find the slope

Javier has written his own recipe for pot roast. His recipe says the roast needs to cook 1 hour for each

pound.

There is a proportional relationship between the weight (in

pounds)

of the pot roast,

and the total cooking time (in

hours),

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

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

What is the slope of the line?

ref_doc_title.

Learn with an example

question

Over the summer, Dover Science Academy renovates its building. The academy's principal hires Dakota to lay new tile in the main hallway. Dakota needs 3 tiles to cover each foot of the

hallway.

There is a proportional relationship between the length (in

feet)

of hallway Dakota covers with tiles,

and the number of tiles she needs,

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

What is the slope of the line?

key idea

The graph of a proportional relationship between

and

is a straight line passing through the origin

(

)

The slope of this line is equal to the unit rate of

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 Dakota doesn't cover any of the hallway (0 feet), she needs 0 tiles.

To find another point, look for clues in the problem that describe the unit rate.

Over the summer, Dover Science Academy renovates its building. The academy's principal hires Dakota to lay new tile in the main hallway. Dakota needs 3 tiles to cover each foot of the

hallway.

3 tiles per foot is the unit rate for this relationship. Each time Dakota covers 1 more foot of the hallway, she needs 3 more tiles.

From

(

)

move 1 to the right and 3 up to plot

(

)

The line through

(

)

and

(

)

shows the proportional relationship.

The unit rate is 3 tiles per foot. So, the slope of the line is 3.

Looking for more? Try these:

Lesson: Proportional relationships

Lesson: Slope

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Now entering the Challenge Zone—are you ready?

Teacher tools

Work it out

Not feeling ready yet? These can help:

X.4Find the constant of proportionality from a graph

LL.3Graph points on a coordinate plane

Lesson: Proportional relationships

Lesson: Slope

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