#### Transcript Oil Changes and Engine Repairs

```Draw the graph
y = 3x - 2
Write down the
Write down the
equation of a line equation of a line
which is parallel
which is steeper
to y = 4x + 5
than y = 3x – 2
with a reason
with a reason
What is the
gradient of the
line joining the
points
(2,3) and (6,13)?
What is the
equation of the
line which passes
through
(0,5) and (4,13)?
What is the
equation of the
line which passes
through
(3,8) and (6,20)?
What is the
gradient of the
line y = 3x + 4?
What is the
gradient of the
line x + y = 6?
Draw the graph
2x + 3y = 12
Learning Objectives
1. Pupils should know how to construct a linear model for a set of
real life data
2. Pupils should have an idea as to the Social Implications and the
uses of modelling.
Learning outcomes
This will be a successful lesson for the pupils if:
1. All pupils can draw a line of best fit to fit some real life data and
find the equation of the line (Level 7)
2. Most pupils will be able to use the equation of the line of best fit
to predict a missing value (Level 8)
3. Some pupils can also interpret the equation of the line of best fit
with reference to the context. (Level E)
Modelling with Straight Line Graphs
Oil Changes and Engine Repairs
The table below displays data that relate the number or oil changes
per year and the cost of engine repairs.
http://illuminations.nctm.org/LessonDetail.aspx?ID=L298
Modelling with Straight Line Graphs
Oil Changes and Engine Repairs
Modelling with Straight Line Graphs
Oil Changes and Engine Repairs
http://illuminations.nctm.org/LessonDetail.aspx?ID=L298
Modelling with Straight Line Graphs
Bike Weight and Maximum Height
Modelling with Straight Line Graphs
Bike Weight and Maximum Height
Modelling with Straight Line Graphs
Weights and Drug Doses
Modelling with Straight Line Graphs
Weights and Drug Doses
Draw the graph
y = 4x - 5
Write down the
Write down the
equation of a line equation of a line
which is parallel
which is steeper
to y = 2x + 3
than y = 5x – 6
with a reason
with a reason
What is the
gradient of the
line joining the
points
(2,5) and (6,7)?
What is the
equation of the
line which passes
through
(0,3) and (3,18)?
What is the
equation of the
line which passes
through
(2,8) and (5,14)?
What is the
gradient of the
line y = -2x + 4?
What is the
gradient of the
line 3x + y = 6?
Draw the graph
3x + 5y = 15
```