## All Tasks

#### Graph_TF (Beginner-Exercising)

The lines r, s, t, u, v are represented in the figure.
State whether the following statements are true (T) or false (F).
- The slope of the line t is 4. **________**
- The y-intercept of the line v is -2 **________**
- The line r is the graph of a linear function with $y=-x$. **________**

# Linear functions

Training

9

#### Intersection point (B_E)

The intersection point of the functions analytically defined by $y -3x +5 = 0$ and $y = -x +3$ is

# Linear functions

Training

9

#### Graph_point (Expert-Exercising)

The lines $r$, $s$, $t$, $u$, $v$ are represented in the figure.
The lines $r$ and $s$ are concurrent and intersect at a point $P$. The coordinates of this point are:

# Linear functions

Training

9

#### Graph_Law (Intermediate-Exercising)

The lines $r, s, t, u, v$ are represented in the figure.
The analytic expression of a function whose graph is a line parallel to line $s$ and which passes through the point $(2,0)$ is, in decimal format:
y=**_____**x+(**_____**)

# Linear functions

Training

9

#### Conjunction of conditions (I_E)

Give all integer values of $x$ that fulfil the
following two conditions:
1. The function values of $f(x) = -1-x$ are not negative.
2. The function values of $g(x) = -3x-9$ are negative.

# Linear functions

Training

9

#### Race_time (Intermediate-Exercising)

Three friends decided to take a run. Ana used a bicycle, Filipa and Joana used cars. Joana's car is faster than Filipa's.
Looking at the figure, fill in the spaces with f, g, h, or a number.
- Ana's race corresponds to line **_____**, Joana's to line **____** and Filipa's to line **_____**.
- The proportionality constant for function g is **_____**.
- Ana took **_____** hours to cover 100 km.

# Linear functions

Training

9