# 1718 WB1Z CH1 (book 2A) Lesson 6

Which exercises should we discuss on the board?
1 / 16
Slide 1: Mind map
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This lesson contains 16 slides, with interactive quizzes and text slides.

Lesson duration is: 50 min

## Items in this lesson

Which exercises should we discuss on the board?

#### Slide 1 -Mind map

Linear relations
If there is a linear relation between two variables, you can make a linear formula.All linear formulas have the form

is the variable on the vertical axis
is the variable on the horizontal axis
is the y-intercept
y=ax+b
y
x
a
b

#### Slide 2 -Slide

Parallel lines
Parallel lines have the
increase per step is the same.
(all graphs on the right go 3 units
up if you move 2 units to the right,

#### Slide 3 -Slide

Parallel lines
Parallel lines have the
increase per step is the same.
(all graphs on the right go 3 units
up if you move 2 units to the right,

#### Slide 4 -Slide

Making a formula (parallel lines)
A linear graph is parallel to the graph with formula
AND it passes through point (3, 2). Give a formula for this graph.

y=2x+5

#### Slide 5 -Slide

Making a formula (parallel lines)
A linear graph is parallel to the graph with formula
AND it passes through point (3, 2). Give a formula for this graph.
1) Write down the general linear formula

y=2x+5
y=ax+b

#### Slide 6 -Slide

Making a formula (parallel lines)
A linear graph is parallel to the graph with formula
AND it passes through point (3, 2). Give a formula for this graph.
1) Write down the general linear formula
2) Fill in the gradient (parallel lines, so also -2)

y=2x+5
y=ax+b
y=2x+b

#### Slide 7 -Slide

Making a formula (parallel lines)
A linear graph is parallel to the graph with formula
AND it passes through point (3, 2). Give a formula for this graph.
1) Write down the general linear formula
2) Fill in the gradient (parallel lines, so also -2)
3) Fill in the coordinates from the given point  in the general formula and calculate b.

y=2x+5
y=ax+b
y=2x+b

#### Slide 8 -Slide

Making a formula (parallel lines)
A linear graph is parallel to the graph with formula
AND it passes through point (3, 2). Give a formula for this graph.
1) Write down the general linear formula
2) Fill in the gradient (parallel lines, so also -2)
3) Fill in the coordinates from the given point in the general formula and calculate b.
4) Give the formula
y=2x+5
y=ax+b
y=2x+b
y=2x+8

#### Slide 9 -Slide

A linear graph is parallel to the graph with formula
y =6x-7 AND passes through point (2, 1).
Give a formula that corresponds to this graph.

#### Slide 10 -Open question

Making a formula (two given points)
You can also make a formula for a linear graph if you are given two points on that graph. The steps are almost the same as with making a formula for a graph and for parallel lines.

#### Slide 11 -Slide

Making a formula (two given points)
A linear graph passes through the points (-4,3) and (2, 7). Give a formula that corresponds to this graph.
1) Write down the general linear formula.
y=ax+b

#### Slide 12 -Slide

Making a formula (two given points)
A linear graph passes through the points (-4,3) and (2, 7). Give a formula that corresponds to this graph.
1) Write down the general linear formula
2) Sketch the points and calculate the gradient.

y=ax+b

#### Slide 13 -Slide

Making a formula (two given points)
A linear graph passes through the points (-4,3) and (2, 7). Give a formula that corresponds to this graph.
1) Write down the general linear formula
2) Sketch the points and calculate the gradient.

3) Fill in the gradient and the coordinates of one of
the points in the general formula and calculate b.

y=ax+b

#### Slide 14 -Slide

Making a formula (two given points)
A linear graph passes through the points (-4,3) and (2, 7). Give a formula that corresponds to this graph.
1) Write down the general linear formula
2) Sketch the points and calculate the gradient.

3) Fill in the gradient and the coordinates of one of
the points in the general formula and calculate b.
4) Give the formula
y=ax+b
y=32x+532

HW Monday
Make and correct
33-40
from §1.5