Activity 1: Below are jumbled up words. Read and correctly rearrange the words to make meaningful sentences.

The y-intercept occurs when $x = 0$.

The y-intercept occurs when $x = 0$.

The coordinates of the y-intercepts are:
For $y = 2x - 4$: $\boxed{(0, -4)}$
For $y = 2x + 2$: $\boxed{(0, 2)}$

3.1.3

The x-intercept occurs when $y = 0$.

The x-intercept occurs when $y = 0$.

The coordinates of the x-intercepts are:
For $y = 2x - 4$: $\boxed{(2, 0)}$
For $y = 2x + 2$: $\boxed{(-1, 0)}$

3.1.4
Both graphs are linear.
Explanation: Both equations are in the form $y = mx + c$, where $m$ and $c$ are constants. This is the standard form for a linear equation, meaning the highest power of the variable $x$ is 1.

3.1.5
The graph of $y = 2x - 4$ is increasing.
Explanation: The slope ($m$) of the line $y = 2x - 4$ is 2. Since the slope is positive ($m > 0$), the graph is increasing.

3.2.1

3.2.2

3.2.3

The equations are $y = 2x - 4$ and $y = 2x + 2$.

Subtract $2x$ from both sides:

The statement $-4 = 2$ is false. This means there is no value of $x$ for which the two equations are equal. Therefore, the lines are parallel and do not intersect.
The point of intersection is $\boxed{\text{No intersection (lines are parallel)}}$.