## All Tasks

#### Parallel lines

Decide, if the graph of a linear function with the points A(2;8) and B(-2;5) is parallel to the graph of the linear function with the points C(8;6) and D(12;9)

# Linear functions

Reasoning

5

#### Stair steps

In a linear function $y=ax$ the slope is always constant and equal to $a$.
This means that the ratio $a =\frac{y}{x}$ is constant. This ratio is also called gradient.
Can you find the height of the stair steps when you know that $2$ steps have height $32 \ cm$.

# Linear functions

Training

8

#### Can you find the number?

If the linear functions $y = -2x$ and $y = (a + 2)x + 5$ are parallel. The number $a$ is:

# Linear functions

Training

8

#### Prom night!

The cost of the annual Dance Night is depending on the number of students that will participate according to the value table of the picture.
Can you find the linear’s function slope that represents the cost depending on the number of students that will attend to your schools prom night?

# Linear functions

Training

8

#### Lorry

A lorry can have a total weight of 40t. The empty weight is 21.7t.
At a station bagger takes 1.5t on the lorry with every scoop. Calculate the number of scoops, the lorry can have.

# Proportionality

Modeling

8

#### Position of two graphs II

These graphs of the two linear functions $y_2 = 2x -1$ and $y_2 = -\frac{x}{2} +289$ are...
[Select the right answer below.]

# Linear functions

Training

8