Assignments

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.

Solution

2. Draw the line:

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

Solution

3. Draw the line:

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

Solution

4. Draw the line of the following linear functions:

and calculate their intersection point.

Solution

5. Draw the lines of the following linear functions:

and calculate their intersection point.

Solution

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

in point .
Calculate the coordinates of .

Solution

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

in point .
Calculate the coordinates of .

Solution

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

in the point .
Calculate the coordinates of .

Solution

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

Answer the following questions.

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

Solution

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

parallel to ?

Solution