MFM 2P

Minds On

Complete the following conversions:

9 feet = cm 5m = yards

55 km = miles 80 cm = in.

MFM 2P

Lesson One: Writing Linear Equations

Learning Goals:

• I can write an equation that models a described situation

• I can define the variables I used in my equation

• I can identify parts of my equation (slope, y-intercept)

• I can graph my equation

MFM 2P

Lesson One: Writing Linear Equations

Recall:

The independent variable is the variable that does not depend on anything else. It always goes on the

axis.

The dependent variable depends on the independent variable. It goes on the

axis.

MFM 2P

Lesson One: Writing Linear Equations

Examples of independent/dependent relationships:

Independent (X) Dependent (Y)

# of hours you worked in a week Your pay for that week

Time Height of a plane

MFM 2P

Lesson One: Writing Linear Equations

When we graph these relationships, the independent variable always goes on the x-axis and the dependent always goes on the y-axis

MFM 2P

Lesson One: Writing Linear Equations

There is a $500 set-up fee for printing magazines and they charge $3 per magazine.

Define your variables:

Independent (X) :

Dependent (Y) :

MFM 2P

Lesson One: Writing Linear Equations

There is a $500 set-up fee for printing magazines and they charge $3 per magazine.

Write your equation (y = mx + b):

MFM 2P

Lesson One: Writing Linear Equations

There is a $500 set-up fee for printing magazines and they charge $3 per magazine.

Make a table of values: X Y

MFM 2P

Lesson One: Writing Linear Equations

There is a $500 set-up fee for printing magazines and they charge $3 per magazine.

Describe your graph:

Slope:

Rise:

Run:

Y-Intercept:

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

MFM 2P

Lesson One: Writing Linear Equations

You have 60L of gas in your tank and you use .08 of a litre each km you drive.

Define your variables:

Independent (X) :

Dependent (Y) :

MFM 2P

Lesson One: Writing Linear Equations

You have 60L of gas in your tank and you use .08 of a litre each km you drive.

Write your equation (y = mx + b):

MFM 2P

Lesson One: Writing Linear Equations

You have 60L of gas in your tank and you use .08 of a litre each km you drive.

Describe your graph:

Slope:

Rise:

Run:

Y-Intercept:

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

MFM 2P

Lesson One: Writing Linear Equations

A mechanic earns $25 per hour.

Define your variables:

Independent (X) :

Dependent (Y) :

MFM 2P

Lesson One: Writing Linear Equations

A mechanic earns $25 per hour.

Write your equation (y = mx + b):

MFM 2P

Lesson One: Writing Linear Equations

A mechanic earns $25 per hour.

Describe your graph:

Slope:

Rise:

Run:

Y-Intercept:

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

                                       

MFM 2P

Lesson One: Writing Linear Equations

Consolidation:

What are the steps for writing an equation from a described situation?