1. Perpendicular Lines
Sunday, 24 February 2019

2. a) Work out the gradient of the line AB
Example
a) Work out the gradient of the line AB
b) Draw a line which is perpendicular to the line AB.
c) Hence work out the gradient of the perpendicular line y B 4 2 2 4 6 8 x A -2

3. a) Work out the gradient of the line LM
Example
a) Work out the gradient of the line LM
b) Draw a line which is perpendicular to the line LM.
c) Hence work out the gradient of the perpendicular line y L 4 M 2 2 4 6 8 x -2

4. If two lines are perpendicular to each other with gradients m1 and m2 then it is true to sayor m2

5. Example
Find the equation of the line which passes through (2, 3)
which is
Parallel to the line 𝑦=3𝑥−4
Perpendicular to the line 𝑦=2𝑥+3

6. Example
Find the equation of the line which passes through (-1, 2)
which is
Parallel to the line 𝑦=4𝑥+1
Perpendicular to the line 𝑦=3𝑥−1

7. Example
Obtain the equation of the line which passes through 3,−1 which is perpendicular to the line 𝑦=2𝑥+7

8. Example
Obtain the equation of the perpendicular bisector of AB where A has coordinate (–1, 4) and B has coordinate (5, 6)

9. Example
Obtain the equation of the line which passes through −2,3 which is perpendicular to the line 𝑦+3𝑥=4