Example Find the equation of the line which passes through the midpoint of the segment joining A (4, 6) and B (-2 , 4) and parallel to the line 3x - 2y = 17.

Solution : Let m be the midpoint of the segment AB

Therefore, M =

The slope of the line 3x - 2y = 17 is

Its equation will be y - y1 = m (x - x₁)

i.e. y - (5) =

i.e. 2y - 10 = 3x - 3

i.e. 3x - 2y + 7 = 0

Example Write the equations of lines parallel to x and y axis respectively and through (3, -4).

Solution :

1. Equation of the line through (3, -4) and parallel to x-axis is y = -4 and

2. Equation of the line through (3, -4) and parallel to y-axis is x = 3.

Index

8.1 Definition
8.2 Relations, Graphs and Symmetry
8.3 Slopes and Intercepts

Chapter 9