# 1718 WB1Z CH1 (book 2A) Lesson 6

Which exercises should we discuss on the board?
1 / 16
Slide 1: Woordweb
WiskundeMiddelbare schoolvwoLeerjaar 1

In deze les zitten 16 slides, met interactieve quizzen en tekstslides.

Lesduur is: 50 min

## Onderdelen in deze les

Which exercises should we discuss on the board?

#### Slide 1 -Woordweb

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 gradient
is the y-intercept
y=ax+b
y
x
a
b

#### Slide 2 -Tekstslide

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

#### Slide 3 -Tekstslide

Parallel lines
Parallel lines have the
same gradient, because the
increase per step is the same.
(all graphs on the right go 3 units
up if you move 2 units to the right,
so the gradient is 1.5)

#### Slide 4 -Tekstslide

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 -Tekstslide

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 -Tekstslide

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 -Tekstslide

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 -Tekstslide

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 -Tekstslide

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 vraag

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 -Tekstslide

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 -Tekstslide

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 -Tekstslide

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 -Tekstslide

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