Below a number of assignments about lines, their slopes, when they are in parallel, how you can calculate the formula of a line through a given point and slope or through two given points.

1. Draw the line:

and calculate the slope and the exact intersection point of the line with the -as.

2. Draw the line:

and calculate the slope and the exact intersection point of the line with the -as.

3. Draw the line:

and calculate the slope and the exact intersection point of the line with the -as.

4. Draw the line of the following linear functions:

and calculate their intersection point.

5. Draw the lines of the following linear functions:

and calculate their intersection point.

6. The line through the point with slope intersects the line:

in point .

Calculate the coordinates of .

7. The line goes through the points and and intersects the line:

in point .

Calculate the coordinates of .

8. The line goes through the points and and intersects the line:

in the point .

Calculate the coordinates of .

9. Given the following two linear equations with two unknown variables en :

Answer the following questions.

- The equations represent lines. Calculate their slopes.
- How can you calculate the coordinates of their intersection point ?

10. The line goes through the points and . For which value of is the line:

parallel to ?