Question

IWI
intercept on x-axis is
Find the equation of the straight line which passes through the point (3, 4) and makes
intercepts on the axes, the sum of whose lengths is 14.
stermine the equation of the line the
4.​

Answer 1

Answer:

Let the equation of the line be

a

x

+

b

y

=1 .....(i)

This passes through (3,4) therefore

a

3

+

b

4

=1 ........(ii)

It is given that a+b=14

⇒ b=14−a

Putting b=14−a in (ii)

we get,

a

3

+

14−a

4

=1

⇒a

2

−13a+42=0 ⇒ (a−7)(a−6)=0 ⇒ a=7,6

For a=7,b=14−7=7 and for a=6,b=14−6=8

Putting the values of a and b in (i) we get the equations of the lines

7

x

+

7

y

=1and

6

x

+

8

y

=1

⇒x+y=7 and 4x+3y=24