Below is a list of samples of the type of questions that are likely to be part of the Leaving Certificate exam. Try to complete the exam and see how you get on.


(1) Verify (2,6) is on the line
3xy=0?
Work this out on paper.


(2) Where does the line 2x  4y =6
intersect the x axis?
Work this out on paper.

Clue.  
(3) If
x(1,6) y(3,1) z(2,2) are vertices (points) of a
triangle. Find what type of triangle it is?
Work this out on paper.

Clue  
(4) What is the slope of the line
perpendicular to a line with the slope 1/5?

Clue  
(5) What is
S_{x}(2,3)?

Clue  
6. What is S_{y}(3,4)?

Clue  
7. What is S_{0}(2,1)?


8.
Find the image of (2,3) under the translation (0,4) > (3,3)?


9. Sketch the line xy4=0?


Answers  








(3)
Find the length of each line.
There are two sides equal. That means that it must be an isoceles triangle. 





(4)
Lines that are
perpendicular have opposite slopes so you must flip one and change the sign to
get the slope of a perpendicular line to it.
We flip 1/5 to get 5/1. Change the sign to get 5




(5) Count the distance to the x axis from
the point and continue the same distance again.



Next Question  
(6)
Count the distance to the y axis from
the point and continue the same distance again. S_{y}(3,4) go to y axis
and same distance again to give (3,4)



Next
Question


(7) Go
to the origin and continue the same distance again
(2,1) > (0,0) > (2,1)


Next
Question


(8)A translation
is a movement in space. If (0,4) gets moved to (3,3) which is 3 spaces across and 1 space down where will the point (2,3) end up. 3 spaces across will give us 2+3=5 and 1 space down will give us 31=2 the point is then (5,2)



Next Question  
(9) In order to plot any line you need two points. The most common way to find two points on a line is to use the X axis intercept and the Y axis intercept.  
To find the X axis intercept Plug in Y=0 into equation. xy4 = 0 x04 = 0 x = 4 ===> (4,0) 
To get the Y axis intercept 


Question  
